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Finding the Fourth Proportional to 83,384.69, 115,082.03 and 49,390.52

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Solution

The fourth proportional to 83,384.69, 115,082.03 and 49,390.52 is: 68,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.69 : 115,082.03 = 49,390.52 : x
  2. Step 2: Convert to fraction form
    83,384.69/115,082.03 = 49,390.52/x
  3. Step 3: Cross multiply
    83,384.69x = 115,082.03 × 49,390.52
  4. Step 4: Simplify right side
    83,384.69x = 5,683,961,304.36
  5. Step 5: Solve for x
    x = 5,683,961,304.36/83,384.69
  6. Step 6: Final answer
    x = 68,165.53

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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.