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Finding the Fourth Proportional to 66,434.38, 91,683.09 and 38,141.89

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Solution

The fourth proportional to 66,434.38, 91,683.09 and 38,141.89 is: 52,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434.38 : 91,683.09 = 38,141.89 : x
  2. Step 2: Convert to fraction form
    66,434.38/91,683.09 = 38,141.89/x
  3. Step 3: Cross multiply
    66,434.38x = 91,683.09 × 38,141.89
  4. Step 4: Simplify right side
    66,434.38x = 3,496,966,333.64
  5. Step 5: Solve for x
    x = 3,496,966,333.64/66,434.38
  6. Step 6: Final answer
    x = 52,637.90

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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.