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Finding the Fourth Proportional to 32,207.60, 48,311.40 and 8,515.10

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Solution

The fourth proportional to 32,207.60, 48,311.40 and 8,515.10 is: 12,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,207.60 : 48,311.40 = 8,515.10 : x
  2. Step 2: Convert to fraction form
    32,207.60/48,311.40 = 8,515.10/x
  3. Step 3: Cross multiply
    32,207.60x = 48,311.40 × 8,515.10
  4. Step 4: Simplify right side
    32,207.60x = 411,376,402.14
  5. Step 5: Solve for x
    x = 411,376,402.14/32,207.60
  6. Step 6: Final answer
    x = 12,772.65

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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.