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Finding the Fourth Proportional to 61,757.90, 92,633.20 and 38,070

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Solution

The fourth proportional to 61,757.90, 92,633.20 and 38,070 is: 57,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,757.90 : 92,633.20 = 38,070 : x
  2. Step 2: Convert to fraction form
    61,757.90/92,633.20 = 38,070/x
  3. Step 3: Cross multiply
    61,757.90x = 92,633.20 × 38,070
  4. Step 4: Simplify right side
    61,757.90x = 3,526,545,924
  5. Step 5: Solve for x
    x = 3,526,545,924/61,757.90
  6. Step 6: Final answer
    x = 57,102.75

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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.