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Finding the Fourth Proportional to 83,377, 115,060.26 and 45,651.52

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Solution

The fourth proportional to 83,377, 115,060.26 and 45,651.52 is: 62,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,377 : 115,060.26 = 45,651.52 : x
  2. Step 2: Convert to fraction form
    83,377/115,060.26 = 45,651.52/x
  3. Step 3: Cross multiply
    83,377x = 115,060.26 × 45,651.52
  4. Step 4: Simplify right side
    83,377x = 5,252,675,760.60
  5. Step 5: Solve for x
    x = 5,252,675,760.60/83,377
  6. Step 6: Final answer
    x = 62,999.10

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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.