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Finding the Fourth Proportional to 83,187.16, 114,882.16 and 52,986

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Solution

The fourth proportional to 83,187.16, 114,882.16 and 52,986 is: 73,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.16 : 114,882.16 = 52,986 : x
  2. Step 2: Convert to fraction form
    83,187.16/114,882.16 = 52,986/x
  3. Step 3: Cross multiply
    83,187.16x = 114,882.16 × 52,986
  4. Step 4: Simplify right side
    83,187.16x = 6,087,146,129.76
  5. Step 5: Solve for x
    x = 6,087,146,129.76/83,187.16
  6. Step 6: Final answer
    x = 73,174.11

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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.