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Finding the Fourth Proportional to 100,533.48, 150,799.19 and 25,652.82

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Solution

The fourth proportional to 100,533.48, 150,799.19 and 25,652.82 is: 38,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,533.48 : 150,799.19 = 25,652.82 : x
  2. Step 2: Convert to fraction form
    100,533.48/150,799.19 = 25,652.82/x
  3. Step 3: Cross multiply
    100,533.48x = 150,799.19 × 25,652.82
  4. Step 4: Simplify right side
    100,533.48x = 3,868,424,348.95
  5. Step 5: Solve for x
    x = 3,868,424,348.95/100,533.48
  6. Step 6: Final answer
    x = 38,478.97

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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.