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Finding the Fourth Proportional to 51,901.88, 77,792.33 and 23,824.89

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Solution

The fourth proportional to 51,901.88, 77,792.33 and 23,824.89 is: 35,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901.88 : 77,792.33 = 23,824.89 : x
  2. Step 2: Convert to fraction form
    51,901.88/77,792.33 = 23,824.89/x
  3. Step 3: Cross multiply
    51,901.88x = 77,792.33 × 23,824.89
  4. Step 4: Simplify right side
    51,901.88x = 1,853,393,585.97
  5. Step 5: Solve for x
    x = 1,853,393,585.97/51,901.88
  6. Step 6: Final answer
    x = 35,709.57

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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.