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Finding the Fourth Proportional to 52,049.76, 71,828.68 and 29,693.76

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Solution

The fourth proportional to 52,049.76, 71,828.68 and 29,693.76 is: 40,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.76 : 71,828.68 = 29,693.76 : x
  2. Step 2: Convert to fraction form
    52,049.76/71,828.68 = 29,693.76/x
  3. Step 3: Cross multiply
    52,049.76x = 71,828.68 × 29,693.76
  4. Step 4: Simplify right side
    52,049.76x = 2,132,863,585.04
  5. Step 5: Solve for x
    x = 2,132,863,585.04/52,049.76
  6. Step 6: Final answer
    x = 40,977.40

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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.