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Finding the Fourth Proportional to 101,604.60, 152,323.64 and 38,388.76

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Solution

The fourth proportional to 101,604.60, 152,323.64 and 38,388.76 is: 57,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,604.60 : 152,323.64 = 38,388.76 : x
  2. Step 2: Convert to fraction form
    101,604.60/152,323.64 = 38,388.76/x
  3. Step 3: Cross multiply
    101,604.60x = 152,323.64 × 38,388.76
  4. Step 4: Simplify right side
    101,604.60x = 5,847,515,657.90
  5. Step 5: Solve for x
    x = 5,847,515,657.90/101,604.60
  6. Step 6: Final answer
    x = 57,551.68

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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.