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Finding the Fourth Proportional to 32,565.21, 48,847.82 and 9,191.65

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Solution

The fourth proportional to 32,565.21, 48,847.82 and 9,191.65 is: 13,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.21 : 48,847.82 = 9,191.65 : x
  2. Step 2: Convert to fraction form
    32,565.21/48,847.82 = 9,191.65/x
  3. Step 3: Cross multiply
    32,565.21x = 48,847.82 × 9,191.65
  4. Step 4: Simplify right side
    32,565.21x = 448,992,151.45
  5. Step 5: Solve for x
    x = 448,992,151.45/32,565.21
  6. Step 6: Final answer
    x = 13,787.48

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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.