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Finding the Fourth Proportional to 32,585.68, 48,867.18 and 9,205.84

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Solution

The fourth proportional to 32,585.68, 48,867.18 and 9,205.84 is: 13,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.68 : 48,867.18 = 9,205.84 : x
  2. Step 2: Convert to fraction form
    32,585.68/48,867.18 = 9,205.84/x
  3. Step 3: Cross multiply
    32,585.68x = 48,867.18 × 9,205.84
  4. Step 4: Simplify right side
    32,585.68x = 449,863,440.33
  5. Step 5: Solve for x
    x = 449,863,440.33/32,585.68
  6. Step 6: Final answer
    x = 13,805.56

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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.