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Finding the Fourth Proportional to 41,430, 62,153.12 and 16,465.39

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Solution

The fourth proportional to 41,430, 62,153.12 and 16,465.39 is: 24,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430 : 62,153.12 = 16,465.39 : x
  2. Step 2: Convert to fraction form
    41,430/62,153.12 = 16,465.39/x
  3. Step 3: Cross multiply
    41,430x = 62,153.12 × 16,465.39
  4. Step 4: Simplify right side
    41,430x = 1,023,375,360.52
  5. Step 5: Solve for x
    x = 1,023,375,360.52/41,430
  6. Step 6: Final answer
    x = 24,701.31

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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.