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Finding the Fourth Proportional to 100,567.41, 150,851.13 and 25,687.72

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Solution

The fourth proportional to 100,567.41, 150,851.13 and 25,687.72 is: 38,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567.41 : 150,851.13 = 25,687.72 : x
  2. Step 2: Convert to fraction form
    100,567.41/150,851.13 = 25,687.72/x
  3. Step 3: Cross multiply
    100,567.41x = 150,851.13 × 25,687.72
  4. Step 4: Simplify right side
    100,567.41x = 3,875,021,589.12
  5. Step 5: Solve for x
    x = 3,875,021,589.12/100,567.41
  6. Step 6: Final answer
    x = 38,531.58

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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.