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Finding the Fourth Proportional to 83,594.59, 115,360.55 and 47,785.39

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Solution

The fourth proportional to 83,594.59, 115,360.55 and 47,785.39 is: 65,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.59 : 115,360.55 = 47,785.39 : x
  2. Step 2: Convert to fraction form
    83,594.59/115,360.55 = 47,785.39/x
  3. Step 3: Cross multiply
    83,594.59x = 115,360.55 × 47,785.39
  4. Step 4: Simplify right side
    83,594.59x = 5,512,548,872.36
  5. Step 5: Solve for x
    x = 5,512,548,872.36/83,594.59
  6. Step 6: Final answer
    x = 65,943.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.