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Finding the Fourth Proportional to 32,767.80, 49,151.70 and 30,233.40

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Solution

The fourth proportional to 32,767.80, 49,151.70 and 30,233.40 is: 45,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.80 : 49,151.70 = 30,233.40 : x
  2. Step 2: Convert to fraction form
    32,767.80/49,151.70 = 30,233.40/x
  3. Step 3: Cross multiply
    32,767.80x = 49,151.70 × 30,233.40
  4. Step 4: Simplify right side
    32,767.80x = 1,486,023,006.78
  5. Step 5: Solve for x
    x = 1,486,023,006.78/32,767.80
  6. Step 6: Final answer
    x = 45,350.10

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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.