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Finding the Fourth Proportional to 38,315, 57,431.60 and 18,550.20

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Solution

The fourth proportional to 38,315, 57,431.60 and 18,550.20 is: 27,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315 : 57,431.60 = 18,550.20 : x
  2. Step 2: Convert to fraction form
    38,315/57,431.60 = 18,550.20/x
  3. Step 3: Cross multiply
    38,315x = 57,431.60 × 18,550.20
  4. Step 4: Simplify right side
    38,315x = 1,065,367,666.32
  5. Step 5: Solve for x
    x = 1,065,367,666.32/38,315
  6. Step 6: Final answer
    x = 27,805.50

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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.