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Finding the Fourth Proportional to 47,711.67, 65,839.52 and 26,489.57

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Solution

The fourth proportional to 47,711.67, 65,839.52 and 26,489.57 is: 36,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.67 : 65,839.52 = 26,489.57 : x
  2. Step 2: Convert to fraction form
    47,711.67/65,839.52 = 26,489.57/x
  3. Step 3: Cross multiply
    47,711.67x = 65,839.52 × 26,489.57
  4. Step 4: Simplify right side
    47,711.67x = 1,744,060,573.81
  5. Step 5: Solve for x
    x = 1,744,060,573.81/47,711.67
  6. Step 6: Final answer
    x = 36,554.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.