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Finding the Fourth Proportional to 83,177.33, 114,784.58 and 47,367.36

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Solution

The fourth proportional to 83,177.33, 114,784.58 and 47,367.36 is: 65,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177.33 : 114,784.58 = 47,367.36 : x
  2. Step 2: Convert to fraction form
    83,177.33/114,784.58 = 47,367.36/x
  3. Step 3: Cross multiply
    83,177.33x = 114,784.58 × 47,367.36
  4. Step 4: Simplify right side
    83,177.33x = 5,437,042,641.73
  5. Step 5: Solve for x
    x = 5,437,042,641.73/83,177.33
  6. Step 6: Final answer
    x = 65,366.89

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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.