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Finding the Fourth Proportional to 73,255.20, 109,882.78 and 17,851.20

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Solution

The fourth proportional to 73,255.20, 109,882.78 and 17,851.20 is: 26,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,255.20 : 109,882.78 = 17,851.20 : x
  2. Step 2: Convert to fraction form
    73,255.20/109,882.78 = 17,851.20/x
  3. Step 3: Cross multiply
    73,255.20x = 109,882.78 × 17,851.20
  4. Step 4: Simplify right side
    73,255.20x = 1,961,539,482.34
  5. Step 5: Solve for x
    x = 1,961,539,482.34/73,255.20
  6. Step 6: Final answer
    x = 26,776.80

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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.