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Finding the Fourth Proportional to 53,959.10, 80,938.65 and 32,963.90

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Solution

The fourth proportional to 53,959.10, 80,938.65 and 32,963.90 is: 49,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,959.10 : 80,938.65 = 32,963.90 : x
  2. Step 2: Convert to fraction form
    53,959.10/80,938.65 = 32,963.90/x
  3. Step 3: Cross multiply
    53,959.10x = 80,938.65 × 32,963.90
  4. Step 4: Simplify right side
    53,959.10x = 2,668,053,564.74
  5. Step 5: Solve for x
    x = 2,668,053,564.74/53,959.10
  6. Step 6: Final answer
    x = 49,445.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.