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Finding the Fourth Proportional to 28,165.20, 42,247.80 and 17,822.80

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Solution

The fourth proportional to 28,165.20, 42,247.80 and 17,822.80 is: 26,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165.20 : 42,247.80 = 17,822.80 : x
  2. Step 2: Convert to fraction form
    28,165.20/42,247.80 = 17,822.80/x
  3. Step 3: Cross multiply
    28,165.20x = 42,247.80 × 17,822.80
  4. Step 4: Simplify right side
    28,165.20x = 752,974,089.84
  5. Step 5: Solve for x
    x = 752,974,089.84/28,165.20
  6. Step 6: Final answer
    x = 26,734.20

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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.