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Finding the Fourth Proportional to 34,781.24, 48,024.42 and 21,371

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Solution

The fourth proportional to 34,781.24, 48,024.42 and 21,371 is: 29,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.24 : 48,024.42 = 21,371 : x
  2. Step 2: Convert to fraction form
    34,781.24/48,024.42 = 21,371/x
  3. Step 3: Cross multiply
    34,781.24x = 48,024.42 × 21,371
  4. Step 4: Simplify right side
    34,781.24x = 1,026,329,879.82
  5. Step 5: Solve for x
    x = 1,026,329,879.82/34,781.24
  6. Step 6: Final answer
    x = 29,508.15

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