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Finding the Fourth Proportional to 41,633, 62,470 and 19,443.15

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Solution

The fourth proportional to 41,633, 62,470 and 19,443.15 is: 29,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,633 : 62,470 = 19,443.15 : x
  2. Step 2: Convert to fraction form
    41,633/62,470 = 19,443.15/x
  3. Step 3: Cross multiply
    41,633x = 62,470 × 19,443.15
  4. Step 4: Simplify right side
    41,633x = 1,214,613,580.50
  5. Step 5: Solve for x
    x = 1,214,613,580.50/41,633
  6. Step 6: Final answer
    x = 29,174.30

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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.