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Finding the Fourth Proportional to 34,049.60, 51,074.40 and 24,632

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Solution

The fourth proportional to 34,049.60, 51,074.40 and 24,632 is: 36,948

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,049.60 : 51,074.40 = 24,632 : x
  2. Step 2: Convert to fraction form
    34,049.60/51,074.40 = 24,632/x
  3. Step 3: Cross multiply
    34,049.60x = 51,074.40 × 24,632
  4. Step 4: Simplify right side
    34,049.60x = 1,258,064,620.80
  5. Step 5: Solve for x
    x = 1,258,064,620.80/34,049.60
  6. Step 6: Final answer
    x = 36,948

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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.