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Finding the Fourth Proportional to 32,522.76, 48,784.10 and 9,149.18

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Solution

The fourth proportional to 32,522.76, 48,784.10 and 9,149.18 is: 13,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.76 : 48,784.10 = 9,149.18 : x
  2. Step 2: Convert to fraction form
    32,522.76/48,784.10 = 9,149.18/x
  3. Step 3: Cross multiply
    32,522.76x = 48,784.10 × 9,149.18
  4. Step 4: Simplify right side
    32,522.76x = 446,334,512.04
  5. Step 5: Solve for x
    x = 446,334,512.04/32,522.76
  6. Step 6: Final answer
    x = 13,723.76

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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.