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Finding the Fourth Proportional to 51,199.52, 70,654.13 and 29,693.11

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Solution

The fourth proportional to 51,199.52, 70,654.13 and 29,693.11 is: 40,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,199.52 : 70,654.13 = 29,693.11 : x
  2. Step 2: Convert to fraction form
    51,199.52/70,654.13 = 29,693.11/x
  3. Step 3: Cross multiply
    51,199.52x = 70,654.13 × 29,693.11
  4. Step 4: Simplify right side
    51,199.52x = 2,097,940,854.04
  5. Step 5: Solve for x
    x = 2,097,940,854.04/51,199.52
  6. Step 6: Final answer
    x = 40,975.79

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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.