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Finding the Fourth Proportional to 27,551.60, 41,338.20 and 10,023.20

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Solution

The fourth proportional to 27,551.60, 41,338.20 and 10,023.20 is: 15,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.60 : 41,338.20 = 10,023.20 : x
  2. Step 2: Convert to fraction form
    27,551.60/41,338.20 = 10,023.20/x
  3. Step 3: Cross multiply
    27,551.60x = 41,338.20 × 10,023.20
  4. Step 4: Simplify right side
    27,551.60x = 414,341,046.24
  5. Step 5: Solve for x
    x = 414,341,046.24/27,551.60
  6. Step 6: Final answer
    x = 15,038.73

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1.5x scale

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.