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Finding the Fourth Proportional to 100,575.18, 150,862.78 and 25,695.50

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Solution

The fourth proportional to 100,575.18, 150,862.78 and 25,695.50 is: 38,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,575.18 : 150,862.78 = 25,695.50 : x
  2. Step 2: Convert to fraction form
    100,575.18/150,862.78 = 25,695.50/x
  3. Step 3: Cross multiply
    100,575.18x = 150,862.78 × 25,695.50
  4. Step 4: Simplify right side
    100,575.18x = 3,876,494,563.49
  5. Step 5: Solve for x
    x = 3,876,494,563.49/100,575.18
  6. Step 6: Final answer
    x = 38,543.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.