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Finding the Fourth Proportional to 24,175.40, 36,219.90 and 20,719.40

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Solution

The fourth proportional to 24,175.40, 36,219.90 and 20,719.40 is: 31,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.40 : 36,219.90 = 20,719.40 : x
  2. Step 2: Convert to fraction form
    24,175.40/36,219.90 = 20,719.40/x
  3. Step 3: Cross multiply
    24,175.40x = 36,219.90 × 20,719.40
  4. Step 4: Simplify right side
    24,175.40x = 750,454,596.06
  5. Step 5: Solve for x
    x = 750,454,596.06/24,175.40
  6. Step 6: Final answer
    x = 31,042.08

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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.