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Finding the Fourth Proportional to 28,648.80, 42,922.38 and 24,446.16

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Solution

The fourth proportional to 28,648.80, 42,922.38 and 24,446.16 is: 36,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,648.80 : 42,922.38 = 24,446.16 : x
  2. Step 2: Convert to fraction form
    28,648.80/42,922.38 = 24,446.16/x
  3. Step 3: Cross multiply
    28,648.80x = 42,922.38 × 24,446.16
  4. Step 4: Simplify right side
    28,648.80x = 1,049,287,369.06
  5. Step 5: Solve for x
    x = 1,049,287,369.06/28,648.80
  6. Step 6: Final answer
    x = 36,625.88

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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.