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Finding the Fourth Proportional to 32,189.76, 48,286.80 and 8,815.68

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Solution

The fourth proportional to 32,189.76, 48,286.80 and 8,815.68 is: 13,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.76 : 48,286.80 = 8,815.68 : x
  2. Step 2: Convert to fraction form
    32,189.76/48,286.80 = 8,815.68/x
  3. Step 3: Cross multiply
    32,189.76x = 48,286.80 × 8,815.68
  4. Step 4: Simplify right side
    32,189.76x = 425,680,977.02
  5. Step 5: Solve for x
    x = 425,680,977.02/32,189.76
  6. Step 6: Final answer
    x = 13,224.11

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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.