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Finding the Fourth Proportional to 82,390.92, 113,659.38 and 48,833.16

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Solution

The fourth proportional to 82,390.92, 113,659.38 and 48,833.16 is: 67,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,390.92 : 113,659.38 = 48,833.16 : x
  2. Step 2: Convert to fraction form
    82,390.92/113,659.38 = 48,833.16/x
  3. Step 3: Cross multiply
    82,390.92x = 113,659.38 × 48,833.16
  4. Step 4: Simplify right side
    82,390.92x = 5,550,346,689.04
  5. Step 5: Solve for x
    x = 5,550,346,689.04/82,390.92
  6. Step 6: Final answer
    x = 67,366.00

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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.