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Finding the Fourth Proportional to 83,086.50, 124,658.88 and 51,885.30

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Solution

The fourth proportional to 83,086.50, 124,658.88 and 51,885.30 is: 77,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086.50 : 124,658.88 = 51,885.30 : x
  2. Step 2: Convert to fraction form
    83,086.50/124,658.88 = 51,885.30/x
  3. Step 3: Cross multiply
    83,086.50x = 124,658.88 × 51,885.30
  4. Step 4: Simplify right side
    83,086.50x = 6,467,963,386.46
  5. Step 5: Solve for x
    x = 6,467,963,386.46/83,086.50
  6. Step 6: Final answer
    x = 77,846.14

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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.