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Finding the Fourth Proportional to 82,277.46, 123,420.96 and 23,117.72

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Solution

The fourth proportional to 82,277.46, 123,420.96 and 23,117.72 is: 34,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.46 : 123,420.96 = 23,117.72 : x
  2. Step 2: Convert to fraction form
    82,277.46/123,420.96 = 23,117.72/x
  3. Step 3: Cross multiply
    82,277.46x = 123,420.96 × 23,117.72
  4. Step 4: Simplify right side
    82,277.46x = 2,853,210,578.31
  5. Step 5: Solve for x
    x = 2,853,210,578.31/82,277.46
  6. Step 6: Final answer
    x = 34,677.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.