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Finding the Fourth Proportional to 47,609,871.90, 71,414,807.85 and 24,897,731.10

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Solution

The fourth proportional to 47,609,871.90, 71,414,807.85 and 24,897,731.10 is: 37,346,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609,871.90 : 71,414,807.85 = 24,897,731.10 : x
  2. Step 2: Convert to fraction form
    47,609,871.90/71,414,807.85 = 24,897,731.10/x
  3. Step 3: Cross multiply
    47,609,871.90x = 71,414,807.85 × 24,897,731.10
  4. Step 4: Simplify right side
    47,609,871.90x = 1,778,066,682,407,469
  5. Step 5: Solve for x
    x = 1,778,066,682,407,469/47,609,871.90
  6. Step 6: Final answer
    x = 37,346,596.65

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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.