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Finding the Fourth Proportional to 83,348.52, 115,013.70 and 47,047.97

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Solution

The fourth proportional to 83,348.52, 115,013.70 and 47,047.97 is: 64,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348.52 : 115,013.70 = 47,047.97 : x
  2. Step 2: Convert to fraction form
    83,348.52/115,013.70 = 47,047.97/x
  3. Step 3: Cross multiply
    83,348.52x = 115,013.70 × 47,047.97
  4. Step 4: Simplify right side
    83,348.52x = 5,411,160,532.12
  5. Step 5: Solve for x
    x = 5,411,160,532.12/83,348.52
  6. Step 6: Final answer
    x = 64,922.09

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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.