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Finding the Fourth Proportional to 83,594.35, 115,360.19 and 47,785.13

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Solution

The fourth proportional to 83,594.35, 115,360.19 and 47,785.13 is: 65,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.35 : 115,360.19 = 47,785.13 : x
  2. Step 2: Convert to fraction form
    83,594.35/115,360.19 = 47,785.13/x
  3. Step 3: Cross multiply
    83,594.35x = 115,360.19 × 47,785.13
  4. Step 4: Simplify right side
    83,594.35x = 5,512,501,675.97
  5. Step 5: Solve for x
    x = 5,512,501,675.97/83,594.35
  6. Step 6: Final answer
    x = 65,943.47

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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.