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Finding the Fourth Proportional to 82,591.10, 113,966.05 and 48,592.11

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Solution

The fourth proportional to 82,591.10, 113,966.05 and 48,592.11 is: 67,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.10 : 113,966.05 = 48,592.11 : x
  2. Step 2: Convert to fraction form
    82,591.10/113,966.05 = 48,592.11/x
  3. Step 3: Cross multiply
    82,591.10x = 113,966.05 × 48,592.11
  4. Step 4: Simplify right side
    82,591.10x = 5,537,850,777.67
  5. Step 5: Solve for x
    x = 5,537,850,777.67/82,591.10
  6. Step 6: Final answer
    x = 67,051.42

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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.