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Finding the Fourth Proportional to 83,113.68, 114,696.48 and 45,387.96

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Solution

The fourth proportional to 83,113.68, 114,696.48 and 45,387.96 is: 62,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,113.68 : 114,696.48 = 45,387.96 : x
  2. Step 2: Convert to fraction form
    83,113.68/114,696.48 = 45,387.96/x
  3. Step 3: Cross multiply
    83,113.68x = 114,696.48 × 45,387.96
  4. Step 4: Simplify right side
    83,113.68x = 5,205,839,246.38
  5. Step 5: Solve for x
    x = 5,205,839,246.38/83,113.68
  6. Step 6: Final answer
    x = 62,635.17

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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.