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Finding the Fourth Proportional to 83,002.50, 124,504.84 and 27,598.50

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Solution

The fourth proportional to 83,002.50, 124,504.84 and 27,598.50 is: 41,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002.50 : 124,504.84 = 27,598.50 : x
  2. Step 2: Convert to fraction form
    83,002.50/124,504.84 = 27,598.50/x
  3. Step 3: Cross multiply
    83,002.50x = 124,504.84 × 27,598.50
  4. Step 4: Simplify right side
    83,002.50x = 3,436,146,826.74
  5. Step 5: Solve for x
    x = 3,436,146,826.74/83,002.50
  6. Step 6: Final answer
    x = 41,398.11

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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.