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Finding the Fourth Proportional to 67,290.88, 100,948.16 and 27,825.88

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Solution

The fourth proportional to 67,290.88, 100,948.16 and 27,825.88 is: 41,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290.88 : 100,948.16 = 27,825.88 : x
  2. Step 2: Convert to fraction form
    67,290.88/100,948.16 = 27,825.88/x
  3. Step 3: Cross multiply
    67,290.88x = 100,948.16 × 27,825.88
  4. Step 4: Simplify right side
    67,290.88x = 2,808,971,386.38
  5. Step 5: Solve for x
    x = 2,808,971,386.38/67,290.88
  6. Step 6: Final answer
    x = 41,743.72

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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.