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Finding the Fourth Proportional to 100,524.80, 150,862.08 and 38,316.80

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Solution

The fourth proportional to 100,524.80, 150,862.08 and 38,316.80 is: 57,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.80 : 150,862.08 = 38,316.80 : x
  2. Step 2: Convert to fraction form
    100,524.80/150,862.08 = 38,316.80/x
  3. Step 3: Cross multiply
    100,524.80x = 150,862.08 × 38,316.80
  4. Step 4: Simplify right side
    100,524.80x = 5,780,552,146.94
  5. Step 5: Solve for x
    x = 5,780,552,146.94/100,524.80
  6. Step 6: Final answer
    x = 57,503.74

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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.