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Finding the Fourth Proportional to 74,978.94, 112,431.33 and 25,041.90

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Solution

The fourth proportional to 74,978.94, 112,431.33 and 25,041.90 is: 37,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,978.94 : 112,431.33 = 25,041.90 : x
  2. Step 2: Convert to fraction form
    74,978.94/112,431.33 = 25,041.90/x
  3. Step 3: Cross multiply
    74,978.94x = 112,431.33 × 25,041.90
  4. Step 4: Simplify right side
    74,978.94x = 2,815,494,122.73
  5. Step 5: Solve for x
    x = 2,815,494,122.73/74,978.94
  6. Step 6: Final answer
    x = 37,550.47

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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.