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Finding the Fourth Proportional to 51,642.49, 71,248.36 and 33,747.87

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Solution

The fourth proportional to 51,642.49, 71,248.36 and 33,747.87 is: 46,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.49 : 71,248.36 = 33,747.87 : x
  2. Step 2: Convert to fraction form
    51,642.49/71,248.36 = 33,747.87/x
  3. Step 3: Cross multiply
    51,642.49x = 71,248.36 × 33,747.87
  4. Step 4: Simplify right side
    51,642.49x = 2,404,480,222.25
  5. Step 5: Solve for x
    x = 2,404,480,222.25/51,642.49
  6. Step 6: Final answer
    x = 46,560.11

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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.