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Finding the Fourth Proportional to 83,139.70, 124,709.55 and 49,897.30

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Solution

The fourth proportional to 83,139.70, 124,709.55 and 49,897.30 is: 74,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,139.70 : 124,709.55 = 49,897.30 : x
  2. Step 2: Convert to fraction form
    83,139.70/124,709.55 = 49,897.30/x
  3. Step 3: Cross multiply
    83,139.70x = 124,709.55 × 49,897.30
  4. Step 4: Simplify right side
    83,139.70x = 6,222,669,829.22
  5. Step 5: Solve for x
    x = 6,222,669,829.22/83,139.70
  6. Step 6: Final answer
    x = 74,845.95

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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.