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Finding the Fourth Proportional to 82,832.92, 114,310.14 and 45,107.20

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Solution

The fourth proportional to 82,832.92, 114,310.14 and 45,107.20 is: 62,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.92 : 114,310.14 = 45,107.20 : x
  2. Step 2: Convert to fraction form
    82,832.92/114,310.14 = 45,107.20/x
  3. Step 3: Cross multiply
    82,832.92x = 114,310.14 × 45,107.20
  4. Step 4: Simplify right side
    82,832.92x = 5,156,210,347.01
  5. Step 5: Solve for x
    x = 5,156,210,347.01/82,832.92
  6. Step 6: Final answer
    x = 62,248.32

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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.