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Finding the Fourth Proportional to 83,702.36, 125,455.10 and 33,715.71

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Solution

The fourth proportional to 83,702.36, 125,455.10 and 33,715.71 is: 50,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702.36 : 125,455.10 = 33,715.71 : x
  2. Step 2: Convert to fraction form
    83,702.36/125,455.10 = 33,715.71/x
  3. Step 3: Cross multiply
    83,702.36x = 125,455.10 × 33,715.71
  4. Step 4: Simplify right side
    83,702.36x = 4,229,807,601.04
  5. Step 5: Solve for x
    x = 4,229,807,601.04/83,702.36
  6. Step 6: Final answer
    x = 50,533.91

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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.