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Finding the Fourth Proportional to 83,602.24, 115,371.08 and 47,793

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Solution

The fourth proportional to 83,602.24, 115,371.08 and 47,793 is: 65,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602.24 : 115,371.08 = 47,793 : x
  2. Step 2: Convert to fraction form
    83,602.24/115,371.08 = 47,793/x
  3. Step 3: Cross multiply
    83,602.24x = 115,371.08 × 47,793
  4. Step 4: Simplify right side
    83,602.24x = 5,513,930,026.44
  5. Step 5: Solve for x
    x = 5,513,930,026.44/83,602.24
  6. Step 6: Final answer
    x = 65,954.33

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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.