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Finding the Fourth Proportional to 32,157.80, 48,310.82 and 30,829.24

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Solution

The fourth proportional to 32,157.80, 48,310.82 and 30,829.24 is: 46,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.80 : 48,310.82 = 30,829.24 : x
  2. Step 2: Convert to fraction form
    32,157.80/48,310.82 = 30,829.24/x
  3. Step 3: Cross multiply
    32,157.80x = 48,310.82 × 30,829.24
  4. Step 4: Simplify right side
    32,157.80x = 1,489,385,864.38
  5. Step 5: Solve for x
    x = 1,489,385,864.38/32,157.80
  6. Step 6: Final answer
    x = 46,314.92

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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.