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Finding the Fourth Proportional to 83,002, 124,504.08 and 27,598

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Solution

The fourth proportional to 83,002, 124,504.08 and 27,598 is: 41,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,002 : 124,504.08 = 27,598 : x
  2. Step 2: Convert to fraction form
    83,002/124,504.08 = 27,598/x
  3. Step 3: Cross multiply
    83,002x = 124,504.08 × 27,598
  4. Step 4: Simplify right side
    83,002x = 3,436,063,599.84
  5. Step 5: Solve for x
    x = 3,436,063,599.84/83,002
  6. Step 6: Final answer
    x = 41,397.36

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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.