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Finding the Fourth Proportional to 38,176.52, 52,672.83 and 24,748.34

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Solution

The fourth proportional to 38,176.52, 52,672.83 and 24,748.34 is: 34,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,176.52 : 52,672.83 = 24,748.34 : x
  2. Step 2: Convert to fraction form
    38,176.52/52,672.83 = 24,748.34/x
  3. Step 3: Cross multiply
    38,176.52x = 52,672.83 × 24,748.34
  4. Step 4: Simplify right side
    38,176.52x = 1,303,565,105.60
  5. Step 5: Solve for x
    x = 1,303,565,105.60/38,176.52
  6. Step 6: Final answer
    x = 34,145.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.