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Finding the Fourth Proportional to 52,449.92, 72,381.16 and 28,576.79

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Solution

The fourth proportional to 52,449.92, 72,381.16 and 28,576.79 is: 39,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,449.92 : 72,381.16 = 28,576.79 : x
  2. Step 2: Convert to fraction form
    52,449.92/72,381.16 = 28,576.79/x
  3. Step 3: Cross multiply
    52,449.92x = 72,381.16 × 28,576.79
  4. Step 4: Simplify right side
    52,449.92x = 2,068,421,209.28
  5. Step 5: Solve for x
    x = 2,068,421,209.28/52,449.92
  6. Step 6: Final answer
    x = 39,436.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.