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Finding the Fourth Proportional to 83,061.84, 114,640.20 and 49,530

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Solution

The fourth proportional to 83,061.84, 114,640.20 and 49,530 is: 68,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,061.84 : 114,640.20 = 49,530 : x
  2. Step 2: Convert to fraction form
    83,061.84/114,640.20 = 49,530/x
  3. Step 3: Cross multiply
    83,061.84x = 114,640.20 × 49,530
  4. Step 4: Simplify right side
    83,061.84x = 5,678,129,106
  5. Step 5: Solve for x
    x = 5,678,129,106/83,061.84
  6. Step 6: Final answer
    x = 68,360.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.