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Finding the Fourth Proportional to 82,177.65, 113,369.14 and 48,168.90

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Solution

The fourth proportional to 82,177.65, 113,369.14 and 48,168.90 is: 66,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,177.65 : 113,369.14 = 48,168.90 : x
  2. Step 2: Convert to fraction form
    82,177.65/113,369.14 = 48,168.90/x
  3. Step 3: Cross multiply
    82,177.65x = 113,369.14 × 48,168.90
  4. Step 4: Simplify right side
    82,177.65x = 5,460,865,960.06
  5. Step 5: Solve for x
    x = 5,460,865,960.06/82,177.65
  6. Step 6: Final answer
    x = 66,451.96

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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.