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Finding the Fourth Proportional to 34,610.78, 51,916.17 and 19,809.38

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Solution

The fourth proportional to 34,610.78, 51,916.17 and 19,809.38 is: 29,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.78 : 51,916.17 = 19,809.38 : x
  2. Step 2: Convert to fraction form
    34,610.78/51,916.17 = 19,809.38/x
  3. Step 3: Cross multiply
    34,610.78x = 51,916.17 × 19,809.38
  4. Step 4: Simplify right side
    34,610.78x = 1,028,427,139.67
  5. Step 5: Solve for x
    x = 1,028,427,139.67/34,610.78
  6. Step 6: Final answer
    x = 29,714.07

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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.