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Finding the Fourth Proportional to 83,702.49, 115,515.90 and 47,903.73

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Solution

The fourth proportional to 83,702.49, 115,515.90 and 47,903.73 is: 66,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,702.49 : 115,515.90 = 47,903.73 : x
  2. Step 2: Convert to fraction form
    83,702.49/115,515.90 = 47,903.73/x
  3. Step 3: Cross multiply
    83,702.49x = 115,515.90 × 47,903.73
  4. Step 4: Simplify right side
    83,702.49x = 5,533,642,484.31
  5. Step 5: Solve for x
    x = 5,533,642,484.31/83,702.49
  6. Step 6: Final answer
    x = 66,110.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.