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Finding the Fourth Proportional to 24,052.50, 36,079.29 and 8,257.50

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Solution

The fourth proportional to 24,052.50, 36,079.29 and 8,257.50 is: 12,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.50 : 36,079.29 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    24,052.50/36,079.29 = 8,257.50/x
  3. Step 3: Cross multiply
    24,052.50x = 36,079.29 × 8,257.50
  4. Step 4: Simplify right side
    24,052.50x = 297,924,737.18
  5. Step 5: Solve for x
    x = 297,924,737.18/24,052.50
  6. Step 6: Final answer
    x = 12,386.44

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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.