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Finding the Fourth Proportional to 61,140.57, 91,693 and 23,692.29

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Solution

The fourth proportional to 61,140.57, 91,693 and 23,692.29 is: 35,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,140.57 : 91,693 = 23,692.29 : x
  2. Step 2: Convert to fraction form
    61,140.57/91,693 = 23,692.29/x
  3. Step 3: Cross multiply
    61,140.57x = 91,693 × 23,692.29
  4. Step 4: Simplify right side
    61,140.57x = 2,172,417,146.97
  5. Step 5: Solve for x
    x = 2,172,417,146.97/61,140.57
  6. Step 6: Final answer
    x = 35,531.52

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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.