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Finding the Fourth Proportional to 83,537.70, 125,306.55 and 21,208.20

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Solution

The fourth proportional to 83,537.70, 125,306.55 and 21,208.20 is: 31,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,537.70 : 125,306.55 = 21,208.20 : x
  2. Step 2: Convert to fraction form
    83,537.70/125,306.55 = 21,208.20/x
  3. Step 3: Cross multiply
    83,537.70x = 125,306.55 × 21,208.20
  4. Step 4: Simplify right side
    83,537.70x = 2,657,526,373.71
  5. Step 5: Solve for x
    x = 2,657,526,373.71/83,537.70
  6. Step 6: Final answer
    x = 31,812.30

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