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Finding the Fourth Proportional to 32,482.24, 48,723.90 and 9,107.80

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Solution

The fourth proportional to 32,482.24, 48,723.90 and 9,107.80 is: 13,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.24 : 48,723.90 = 9,107.80 : x
  2. Step 2: Convert to fraction form
    32,482.24/48,723.90 = 9,107.80/x
  3. Step 3: Cross multiply
    32,482.24x = 48,723.90 × 9,107.80
  4. Step 4: Simplify right side
    32,482.24x = 443,767,536.42
  5. Step 5: Solve for x
    x = 443,767,536.42/32,482.24
  6. Step 6: Final answer
    x = 13,661.85

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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.