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Finding the Fourth Proportional to 83,849.66, 115,715.13 and 45,611.99

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Solution

The fourth proportional to 83,849.66, 115,715.13 and 45,611.99 is: 62,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,849.66 : 115,715.13 = 45,611.99 : x
  2. Step 2: Convert to fraction form
    83,849.66/115,715.13 = 45,611.99/x
  3. Step 3: Cross multiply
    83,849.66x = 115,715.13 × 45,611.99
  4. Step 4: Simplify right side
    83,849.66x = 5,277,997,641.70
  5. Step 5: Solve for x
    x = 5,277,997,641.70/83,849.66
  6. Step 6: Final answer
    x = 62,945.96

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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.