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Finding the Fourth Proportional to 52,294.32, 72,158.04 and 29,934

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Solution

The fourth proportional to 52,294.32, 72,158.04 and 29,934 is: 41,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.32 : 72,158.04 = 29,934 : x
  2. Step 2: Convert to fraction form
    52,294.32/72,158.04 = 29,934/x
  3. Step 3: Cross multiply
    52,294.32x = 72,158.04 × 29,934
  4. Step 4: Simplify right side
    52,294.32x = 2,159,978,769.36
  5. Step 5: Solve for x
    x = 2,159,978,769.36/52,294.32
  6. Step 6: Final answer
    x = 41,304.27

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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.