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Finding the Fourth Proportional to 67,767.40, 101,578.20 and 25,631.20

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Solution

The fourth proportional to 67,767.40, 101,578.20 and 25,631.20 is: 38,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,767.40 : 101,578.20 = 25,631.20 : x
  2. Step 2: Convert to fraction form
    67,767.40/101,578.20 = 25,631.20/x
  3. Step 3: Cross multiply
    67,767.40x = 101,578.20 × 25,631.20
  4. Step 4: Simplify right side
    67,767.40x = 2,603,571,159.84
  5. Step 5: Solve for x
    x = 2,603,571,159.84/67,767.40
  6. Step 6: Final answer
    x = 38,419.23

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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.