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Finding the Fourth Proportional to 52,416, 72,316.08 and 29,753.28

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Solution

The fourth proportional to 52,416, 72,316.08 and 29,753.28 is: 41,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416 : 72,316.08 = 29,753.28 : x
  2. Step 2: Convert to fraction form
    52,416/72,316.08 = 29,753.28/x
  3. Step 3: Cross multiply
    52,416x = 72,316.08 × 29,753.28
  4. Step 4: Simplify right side
    52,416x = 2,151,640,576.74
  5. Step 5: Solve for x
    x = 2,151,640,576.74/52,416
  6. Step 6: Final answer
    x = 41,049.31

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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.