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Finding the Fourth Proportional to 73,748.98, 101,772.64 and 41,915.78

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Solution

The fourth proportional to 73,748.98, 101,772.64 and 41,915.78 is: 57,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,748.98 : 101,772.64 = 41,915.78 : x
  2. Step 2: Convert to fraction form
    73,748.98/101,772.64 = 41,915.78/x
  3. Step 3: Cross multiply
    73,748.98x = 101,772.64 × 41,915.78
  4. Step 4: Simplify right side
    73,748.98x = 4,265,879,588.26
  5. Step 5: Solve for x
    x = 4,265,879,588.26/73,748.98
  6. Step 6: Final answer
    x = 57,843.24

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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.