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Finding the Fourth Proportional to 24,052.78, 36,079.40 and 7,412.95

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Solution

The fourth proportional to 24,052.78, 36,079.40 and 7,412.95 is: 11,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.78 : 36,079.40 = 7,412.95 : x
  2. Step 2: Convert to fraction form
    24,052.78/36,079.40 = 7,412.95/x
  3. Step 3: Cross multiply
    24,052.78x = 36,079.40 × 7,412.95
  4. Step 4: Simplify right side
    24,052.78x = 267,454,788.23
  5. Step 5: Solve for x
    x = 267,454,788.23/24,052.78
  6. Step 6: Final answer
    x = 11,119.50

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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.