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Finding the Fourth Proportional to 82,507.68, 113,867.96 and 48,499.12

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Solution

The fourth proportional to 82,507.68, 113,867.96 and 48,499.12 is: 66,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.68 : 113,867.96 = 48,499.12 : x
  2. Step 2: Convert to fraction form
    82,507.68/113,867.96 = 48,499.12/x
  3. Step 3: Cross multiply
    82,507.68x = 113,867.96 × 48,499.12
  4. Step 4: Simplify right side
    82,507.68x = 5,522,495,856.20
  5. Step 5: Solve for x
    x = 5,522,495,856.20/82,507.68
  6. Step 6: Final answer
    x = 66,933.11

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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.