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Finding the Fourth Proportional to 91,746, 137,642.12 and 26,082

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Solution

The fourth proportional to 91,746, 137,642.12 and 26,082 is: 39,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746 : 137,642.12 = 26,082 : x
  2. Step 2: Convert to fraction form
    91,746/137,642.12 = 26,082/x
  3. Step 3: Cross multiply
    91,746x = 137,642.12 × 26,082
  4. Step 4: Simplify right side
    91,746x = 3,589,981,773.84
  5. Step 5: Solve for x
    x = 3,589,981,773.84/91,746
  6. Step 6: Final answer
    x = 39,129.57

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Why These Related Problems?

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