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Finding the Fourth Proportional to 61,548.81, 92,202.70 and 54,854.31

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Solution

The fourth proportional to 61,548.81, 92,202.70 and 54,854.31 is: 82,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,548.81 : 92,202.70 = 54,854.31 : x
  2. Step 2: Convert to fraction form
    61,548.81/92,202.70 = 54,854.31/x
  3. Step 3: Cross multiply
    61,548.81x = 92,202.70 × 54,854.31
  4. Step 4: Simplify right side
    61,548.81x = 5,057,715,052.43
  5. Step 5: Solve for x
    x = 5,057,715,052.43/61,548.81
  6. Step 6: Final answer
    x = 82,174.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.