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Finding the Fourth Proportional to 82,487.88, 113,827 and 48,497.76

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Solution

The fourth proportional to 82,487.88, 113,827 and 48,497.76 is: 66,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,487.88 : 113,827 = 48,497.76 : x
  2. Step 2: Convert to fraction form
    82,487.88/113,827 = 48,497.76/x
  3. Step 3: Cross multiply
    82,487.88x = 113,827 × 48,497.76
  4. Step 4: Simplify right side
    82,487.88x = 5,520,354,527.52
  5. Step 5: Solve for x
    x = 5,520,354,527.52/82,487.88
  6. Step 6: Final answer
    x = 66,923.22

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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.