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Finding the Fourth Proportional to 32,154.64, 48,231.42 and 8,780.98

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Solution

The fourth proportional to 32,154.64, 48,231.42 and 8,780.98 is: 13,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.64 : 48,231.42 = 8,780.98 : x
  2. Step 2: Convert to fraction form
    32,154.64/48,231.42 = 8,780.98/x
  3. Step 3: Cross multiply
    32,154.64x = 48,231.42 × 8,780.98
  4. Step 4: Simplify right side
    32,154.64x = 423,519,134.39
  5. Step 5: Solve for x
    x = 423,519,134.39/32,154.64
  6. Step 6: Final answer
    x = 13,171.32

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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.