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Finding the Fourth Proportional to 38,165.60, 57,253.60 and 13,198.95

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Solution

The fourth proportional to 38,165.60, 57,253.60 and 13,198.95 is: 19,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.60 : 57,253.60 = 13,198.95 : x
  2. Step 2: Convert to fraction form
    38,165.60/57,253.60 = 13,198.95/x
  3. Step 3: Cross multiply
    38,165.60x = 57,253.60 × 13,198.95
  4. Step 4: Simplify right side
    38,165.60x = 755,687,420.22
  5. Step 5: Solve for x
    x = 755,687,420.22/38,165.60
  6. Step 6: Final answer
    x = 19,800.22

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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.