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Finding the Fourth Proportional to 47,429.38, 65,463.45 and 27,297.89

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Solution

The fourth proportional to 47,429.38, 65,463.45 and 27,297.89 is: 37,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,429.38 : 65,463.45 = 27,297.89 : x
  2. Step 2: Convert to fraction form
    47,429.38/65,463.45 = 27,297.89/x
  3. Step 3: Cross multiply
    47,429.38x = 65,463.45 × 27,297.89
  4. Step 4: Simplify right side
    47,429.38x = 1,787,013,729.80
  5. Step 5: Solve for x
    x = 1,787,013,729.80/47,429.38
  6. Step 6: Final answer
    x = 37,677.36

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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.