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Finding the Fourth Proportional to 34,514, 47,629.32 and 19,610

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Solution

The fourth proportional to 34,514, 47,629.32 and 19,610 is: 27,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514 : 47,629.32 = 19,610 : x
  2. Step 2: Convert to fraction form
    34,514/47,629.32 = 19,610/x
  3. Step 3: Cross multiply
    34,514x = 47,629.32 × 19,610
  4. Step 4: Simplify right side
    34,514x = 934,010,965.20
  5. Step 5: Solve for x
    x = 934,010,965.20/34,514
  6. Step 6: Final answer
    x = 27,061.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.