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Finding the Fourth Proportional to 24,052.53, 36,079.01 and 7,412.70

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Solution

The fourth proportional to 24,052.53, 36,079.01 and 7,412.70 is: 11,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.53 : 36,079.01 = 7,412.70 : x
  2. Step 2: Convert to fraction form
    24,052.53/36,079.01 = 7,412.70/x
  3. Step 3: Cross multiply
    24,052.53x = 36,079.01 × 7,412.70
  4. Step 4: Simplify right side
    24,052.53x = 267,442,840.36
  5. Step 5: Solve for x
    x = 267,442,840.36/24,052.53
  6. Step 6: Final answer
    x = 11,119.11

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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.