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Finding the Fourth Proportional to 73,734.46, 110,595.54 and 38,157.46

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Solution

The fourth proportional to 73,734.46, 110,595.54 and 38,157.46 is: 57,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,734.46 : 110,595.54 = 38,157.46 : x
  2. Step 2: Convert to fraction form
    73,734.46/110,595.54 = 38,157.46/x
  3. Step 3: Cross multiply
    73,734.46x = 110,595.54 × 38,157.46
  4. Step 4: Simplify right side
    73,734.46x = 4,220,044,893.73
  5. Step 5: Solve for x
    x = 4,220,044,893.73/73,734.46
  6. Step 6: Final answer
    x = 57,233.01

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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.