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Finding the Fourth Proportional to 83,177.50, 114,784.80 and 47,367.52

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Solution

The fourth proportional to 83,177.50, 114,784.80 and 47,367.52 is: 65,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177.50 : 114,784.80 = 47,367.52 : x
  2. Step 2: Convert to fraction form
    83,177.50/114,784.80 = 47,367.52/x
  3. Step 3: Cross multiply
    83,177.50x = 114,784.80 × 47,367.52
  4. Step 4: Simplify right side
    83,177.50x = 5,437,071,309.70
  5. Step 5: Solve for x
    x = 5,437,071,309.70/83,177.50
  6. Step 6: Final answer
    x = 65,367.09

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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.