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Finding the Fourth Proportional to 101,876.24, 152,735.16 and 48,540.88

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Solution

The fourth proportional to 101,876.24, 152,735.16 and 48,540.88 is: 72,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,876.24 : 152,735.16 = 48,540.88 : x
  2. Step 2: Convert to fraction form
    101,876.24/152,735.16 = 48,540.88/x
  3. Step 3: Cross multiply
    101,876.24x = 152,735.16 × 48,540.88
  4. Step 4: Simplify right side
    101,876.24x = 7,413,899,073.34
  5. Step 5: Solve for x
    x = 7,413,899,073.34/101,876.24
  6. Step 6: Final answer
    x = 72,773.58

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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.