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Finding the Fourth Proportional to 83,540.40, 115,278.24 and 47,730.28

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Solution

The fourth proportional to 83,540.40, 115,278.24 and 47,730.28 is: 65,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540.40 : 115,278.24 = 47,730.28 : x
  2. Step 2: Convert to fraction form
    83,540.40/115,278.24 = 47,730.28/x
  3. Step 3: Cross multiply
    83,540.40x = 115,278.24 × 47,730.28
  4. Step 4: Simplify right side
    83,540.40x = 5,502,262,673.11
  5. Step 5: Solve for x
    x = 5,502,262,673.11/83,540.40
  6. Step 6: Final answer
    x = 65,863.49

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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.