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Finding the Fourth Proportional to 49,647,978.80, 74,471,968.20 and 24,138,810.80

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Solution

The fourth proportional to 49,647,978.80, 74,471,968.20 and 24,138,810.80 is: 36,208,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647,978.80 : 74,471,968.20 = 24,138,810.80 : x
  2. Step 2: Convert to fraction form
    49,647,978.80/74,471,968.20 = 24,138,810.80/x
  3. Step 3: Cross multiply
    49,647,978.80x = 74,471,968.20 × 24,138,810.80
  4. Step 4: Simplify right side
    49,647,978.80x = 1,797,664,750,283,416.75
  5. Step 5: Solve for x
    x = 1,797,664,750,283,416.75/49,647,978.80
  6. Step 6: Final answer
    x = 36,208,216.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.