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Finding the Fourth Proportional to 41,429, 62,151.62 and 16,464.39

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Solution

The fourth proportional to 41,429, 62,151.62 and 16,464.39 is: 24,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,429 : 62,151.62 = 16,464.39 : x
  2. Step 2: Convert to fraction form
    41,429/62,151.62 = 16,464.39/x
  3. Step 3: Cross multiply
    41,429x = 62,151.62 × 16,464.39
  4. Step 4: Simplify right side
    41,429x = 1,023,288,510.81
  5. Step 5: Solve for x
    x = 1,023,288,510.81/41,429
  6. Step 6: Final answer
    x = 24,699.81

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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.