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Finding the Fourth Proportional to 71,294.72, 106,920.48 and 29,732

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Solution

The fourth proportional to 71,294.72, 106,920.48 and 29,732 is: 44,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.72 : 106,920.48 = 29,732 : x
  2. Step 2: Convert to fraction form
    71,294.72/106,920.48 = 29,732/x
  3. Step 3: Cross multiply
    71,294.72x = 106,920.48 × 29,732
  4. Step 4: Simplify right side
    71,294.72x = 3,178,959,711.36
  5. Step 5: Solve for x
    x = 3,178,959,711.36/71,294.72
  6. Step 6: Final answer
    x = 44,588.99

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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.