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Finding the Fourth Proportional to 83,453.60, 115,165.32 and 45,727.76

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Solution

The fourth proportional to 83,453.60, 115,165.32 and 45,727.76 is: 63,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,453.60 : 115,165.32 = 45,727.76 : x
  2. Step 2: Convert to fraction form
    83,453.60/115,165.32 = 45,727.76/x
  3. Step 3: Cross multiply
    83,453.60x = 115,165.32 × 45,727.76
  4. Step 4: Simplify right side
    83,453.60x = 5,266,252,113.28
  5. Step 5: Solve for x
    x = 5,266,252,113.28/83,453.60
  6. Step 6: Final answer
    x = 63,103.95

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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.