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Finding the Fourth Proportional to 83,377.02, 115,060.16 and 45,136.38

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Solution

The fourth proportional to 83,377.02, 115,060.16 and 45,136.38 is: 62,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,377.02 : 115,060.16 = 45,136.38 : x
  2. Step 2: Convert to fraction form
    83,377.02/115,060.16 = 45,136.38/x
  3. Step 3: Cross multiply
    83,377.02x = 115,060.16 × 45,136.38
  4. Step 4: Simplify right side
    83,377.02x = 5,193,399,104.62
  5. Step 5: Solve for x
    x = 5,193,399,104.62/83,377.02
  6. Step 6: Final answer
    x = 62,288.14

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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.