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Finding the Fourth Proportional to 100,538.88, 150,808.19 and 25,659.02

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Solution

The fourth proportional to 100,538.88, 150,808.19 and 25,659.02 is: 38,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538.88 : 150,808.19 = 25,659.02 : x
  2. Step 2: Convert to fraction form
    100,538.88/150,808.19 = 25,659.02/x
  3. Step 3: Cross multiply
    100,538.88x = 150,808.19 × 25,659.02
  4. Step 4: Simplify right side
    100,538.88x = 3,869,590,363.37
  5. Step 5: Solve for x
    x = 3,869,590,363.37/100,538.88
  6. Step 6: Final answer
    x = 38,488.50

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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.