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Finding the Fourth Proportional to 24,471,978.80, 36,706,801.80 and 8,296,343.60

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Solution

The fourth proportional to 24,471,978.80, 36,706,801.80 and 8,296,343.60 is: 12,444,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471,978.80 : 36,706,801.80 = 8,296,343.60 : x
  2. Step 2: Convert to fraction form
    24,471,978.80/36,706,801.80 = 8,296,343.60/x
  3. Step 3: Cross multiply
    24,471,978.80x = 36,706,801.80 × 8,296,343.60
  4. Step 4: Simplify right side
    24,471,978.80x = 304,532,240,189,898.44
  5. Step 5: Solve for x
    x = 304,532,240,189,898.44/24,471,978.80
  6. Step 6: Final answer
    x = 12,444,119.97

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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.