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Finding the Fourth Proportional to 32,381.76, 48,572.57 and 10,197.08

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Solution

The fourth proportional to 32,381.76, 48,572.57 and 10,197.08 is: 15,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.76 : 48,572.57 = 10,197.08 : x
  2. Step 2: Convert to fraction form
    32,381.76/48,572.57 = 10,197.08/x
  3. Step 3: Cross multiply
    32,381.76x = 48,572.57 × 10,197.08
  4. Step 4: Simplify right side
    32,381.76x = 495,298,164.73
  5. Step 5: Solve for x
    x = 495,298,164.73/32,381.76
  6. Step 6: Final answer
    x = 15,295.59

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1.5x scale

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.