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Finding the Fourth Proportional to 83,209.80, 114,801.50 and 47,374.46

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Solution

The fourth proportional to 83,209.80, 114,801.50 and 47,374.46 is: 65,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.80 : 114,801.50 = 47,374.46 : x
  2. Step 2: Convert to fraction form
    83,209.80/114,801.50 = 47,374.46/x
  3. Step 3: Cross multiply
    83,209.80x = 114,801.50 × 47,374.46
  4. Step 4: Simplify right side
    83,209.80x = 5,438,659,069.69
  5. Step 5: Solve for x
    x = 5,438,659,069.69/83,209.80
  6. Step 6: Final answer
    x = 65,360.80

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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.