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Finding the Fourth Proportional to 38,416, 57,646.68 and 16,227.94

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Solution

The fourth proportional to 38,416, 57,646.68 and 16,227.94 is: 24,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416 : 57,646.68 = 16,227.94 : x
  2. Step 2: Convert to fraction form
    38,416/57,646.68 = 16,227.94/x
  3. Step 3: Cross multiply
    38,416x = 57,646.68 × 16,227.94
  4. Step 4: Simplify right side
    38,416x = 935,486,864.24
  5. Step 5: Solve for x
    x = 935,486,864.24/38,416
  6. Step 6: Final answer
    x = 24,351.49

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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.