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Finding the Fourth Proportional to 71,366.16, 107,049.24 and 29,784

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Solution

The fourth proportional to 71,366.16, 107,049.24 and 29,784 is: 44,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366.16 : 107,049.24 = 29,784 : x
  2. Step 2: Convert to fraction form
    71,366.16/107,049.24 = 29,784/x
  3. Step 3: Cross multiply
    71,366.16x = 107,049.24 × 29,784
  4. Step 4: Simplify right side
    71,366.16x = 3,188,354,564.16
  5. Step 5: Solve for x
    x = 3,188,354,564.16/71,366.16
  6. Step 6: Final answer
    x = 44,676

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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.