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Finding the Fourth Proportional to 32,151.79, 48,301.80 and 30,823.21

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Solution

The fourth proportional to 32,151.79, 48,301.80 and 30,823.21 is: 46,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.79 : 48,301.80 = 30,823.21 : x
  2. Step 2: Convert to fraction form
    32,151.79/48,301.80 = 30,823.21/x
  3. Step 3: Cross multiply
    32,151.79x = 48,301.80 × 30,823.21
  4. Step 4: Simplify right side
    32,151.79x = 1,488,816,524.78
  5. Step 5: Solve for x
    x = 1,488,816,524.78/32,151.79
  6. Step 6: Final answer
    x = 46,305.87

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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.