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Finding the Fourth Proportional to 83,685.34, 115,465.17 and 47,387.62

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Solution

The fourth proportional to 83,685.34, 115,465.17 and 47,387.62 is: 65,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,685.34 : 115,465.17 = 47,387.62 : x
  2. Step 2: Convert to fraction form
    83,685.34/115,465.17 = 47,387.62/x
  3. Step 3: Cross multiply
    83,685.34x = 115,465.17 × 47,387.62
  4. Step 4: Simplify right side
    83,685.34x = 5,471,619,599.20
  5. Step 5: Solve for x
    x = 5,471,619,599.20/83,685.34
  6. Step 6: Final answer
    x = 65,383.25

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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.