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Finding the Fourth Proportional to 82,389.92, 113,658 and 48,832.16

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Solution

The fourth proportional to 82,389.92, 113,658 and 48,832.16 is: 67,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,389.92 : 113,658 = 48,832.16 : x
  2. Step 2: Convert to fraction form
    82,389.92/113,658 = 48,832.16/x
  3. Step 3: Cross multiply
    82,389.92x = 113,658 × 48,832.16
  4. Step 4: Simplify right side
    82,389.92x = 5,550,165,641.28
  5. Step 5: Solve for x
    x = 5,550,165,641.28/82,389.92
  6. Step 6: Final answer
    x = 67,364.62

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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.