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Finding the Fourth Proportional to 41,358.62, 62,024 and 16,407.26

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Solution

The fourth proportional to 41,358.62, 62,024 and 16,407.26 is: 24,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,358.62 : 62,024 = 16,407.26 : x
  2. Step 2: Convert to fraction form
    41,358.62/62,024 = 16,407.26/x
  3. Step 3: Cross multiply
    41,358.62x = 62,024 × 16,407.26
  4. Step 4: Simplify right side
    41,358.62x = 1,017,643,894.24
  5. Step 5: Solve for x
    x = 1,017,643,894.24/41,358.62
  6. Step 6: Final answer
    x = 24,605.36

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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.