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Finding the Fourth Proportional to 82,468.34, 113,731.17 and 69,748.19

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Solution

The fourth proportional to 82,468.34, 113,731.17 and 69,748.19 is: 96,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,468.34 : 113,731.17 = 69,748.19 : x
  2. Step 2: Convert to fraction form
    82,468.34/113,731.17 = 69,748.19/x
  3. Step 3: Cross multiply
    82,468.34x = 113,731.17 × 69,748.19
  4. Step 4: Simplify right side
    82,468.34x = 7,932,543,254.08
  5. Step 5: Solve for x
    x = 7,932,543,254.08/82,468.34
  6. Step 6: Final answer
    x = 96,188.95

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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.