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Finding the Fourth Proportional to 24,052.20, 36,071.90 and 7,412.20

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Solution

The fourth proportional to 24,052.20, 36,071.90 and 7,412.20 is: 11,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.20 : 36,071.90 = 7,412.20 : x
  2. Step 2: Convert to fraction form
    24,052.20/36,071.90 = 7,412.20/x
  3. Step 3: Cross multiply
    24,052.20x = 36,071.90 × 7,412.20
  4. Step 4: Simplify right side
    24,052.20x = 267,372,137.18
  5. Step 5: Solve for x
    x = 267,372,137.18/24,052.20
  6. Step 6: Final answer
    x = 11,116.33

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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.