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Finding the Fourth Proportional to 32,475.67, 48,713.74 and 9,102.11

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Solution

The fourth proportional to 32,475.67, 48,713.74 and 9,102.11 is: 13,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.67 : 48,713.74 = 9,102.11 : x
  2. Step 2: Convert to fraction form
    32,475.67/48,713.74 = 9,102.11/x
  3. Step 3: Cross multiply
    32,475.67x = 48,713.74 × 9,102.11
  4. Step 4: Simplify right side
    32,475.67x = 443,397,819.99
  5. Step 5: Solve for x
    x = 443,397,819.99/32,475.67
  6. Step 6: Final answer
    x = 13,653.23

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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.