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Finding the Fourth Proportional to 83,306, 124,972.02 and 27,132.86

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Solution

The fourth proportional to 83,306, 124,972.02 and 27,132.86 is: 40,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,306 : 124,972.02 = 27,132.86 : x
  2. Step 2: Convert to fraction form
    83,306/124,972.02 = 27,132.86/x
  3. Step 3: Cross multiply
    83,306x = 124,972.02 × 27,132.86
  4. Step 4: Simplify right side
    83,306x = 3,390,848,322.58
  5. Step 5: Solve for x
    x = 3,390,848,322.58/83,306
  6. Step 6: Final answer
    x = 40,703.53

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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.