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Finding the Fourth Proportional to 32,581.30, 48,873.76 and 9,207.12

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Solution

The fourth proportional to 32,581.30, 48,873.76 and 9,207.12 is: 13,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.30 : 48,873.76 = 9,207.12 : x
  2. Step 2: Convert to fraction form
    32,581.30/48,873.76 = 9,207.12/x
  3. Step 3: Cross multiply
    32,581.30x = 48,873.76 × 9,207.12
  4. Step 4: Simplify right side
    32,581.30x = 449,986,573.17
  5. Step 5: Solve for x
    x = 449,986,573.17/32,581.30
  6. Step 6: Final answer
    x = 13,811.19

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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.