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Finding the Fourth Proportional to 32,195.31, 48,292.74 and 10,008.65

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Solution

The fourth proportional to 32,195.31, 48,292.74 and 10,008.65 is: 15,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.31 : 48,292.74 = 10,008.65 : x
  2. Step 2: Convert to fraction form
    32,195.31/48,292.74 = 10,008.65/x
  3. Step 3: Cross multiply
    32,195.31x = 48,292.74 × 10,008.65
  4. Step 4: Simplify right side
    32,195.31x = 483,345,082.16
  5. Step 5: Solve for x
    x = 483,345,082.16/32,195.31
  6. Step 6: Final answer
    x = 15,012.90

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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.