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Finding the Fourth Proportional to 32,381.62, 48,580.53 and 10,194.10

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Solution

The fourth proportional to 32,381.62, 48,580.53 and 10,194.10 is: 15,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.62 : 48,580.53 = 10,194.10 : x
  2. Step 2: Convert to fraction form
    32,381.62/48,580.53 = 10,194.10/x
  3. Step 3: Cross multiply
    32,381.62x = 48,580.53 × 10,194.10
  4. Step 4: Simplify right side
    32,381.62x = 495,234,780.87
  5. Step 5: Solve for x
    x = 495,234,780.87/32,381.62
  6. Step 6: Final answer
    x = 15,293.70

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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.