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Finding the Fourth Proportional to 32,449.46, 48,673.88 and 10,262.84

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Solution

The fourth proportional to 32,449.46, 48,673.88 and 10,262.84 is: 15,394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.46 : 48,673.88 = 10,262.84 : x
  2. Step 2: Convert to fraction form
    32,449.46/48,673.88 = 10,262.84/x
  3. Step 3: Cross multiply
    32,449.46x = 48,673.88 × 10,262.84
  4. Step 4: Simplify right side
    32,449.46x = 499,532,242.62
  5. Step 5: Solve for x
    x = 499,532,242.62/32,449.46
  6. Step 6: Final answer
    x = 15,394.16

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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.