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Finding the Fourth Proportional to 83,417, 115,115.52 and 45,691.40

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Solution

The fourth proportional to 83,417, 115,115.52 and 45,691.40 is: 63,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,417 : 115,115.52 = 45,691.40 : x
  2. Step 2: Convert to fraction form
    83,417/115,115.52 = 45,691.40/x
  3. Step 3: Cross multiply
    83,417x = 115,115.52 × 45,691.40
  4. Step 4: Simplify right side
    83,417x = 5,259,789,270.53
  5. Step 5: Solve for x
    x = 5,259,789,270.53/83,417
  6. Step 6: Final answer
    x = 63,054.16

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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.