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Finding the Fourth Proportional to 47,344.66, 65,368.66 and 29,447.71

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Solution

The fourth proportional to 47,344.66, 65,368.66 and 29,447.71 is: 40,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.66 : 65,368.66 = 29,447.71 : x
  2. Step 2: Convert to fraction form
    47,344.66/65,368.66 = 29,447.71/x
  3. Step 3: Cross multiply
    47,344.66x = 65,368.66 × 29,447.71
  4. Step 4: Simplify right side
    47,344.66x = 1,924,957,105.73
  5. Step 5: Solve for x
    x = 1,924,957,105.73/47,344.66
  6. Step 6: Final answer
    x = 40,658.38

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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.