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Finding the Fourth Proportional to 42,696.78, 58,917 and 24,788.43

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Solution

The fourth proportional to 42,696.78, 58,917 and 24,788.43 is: 34,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,696.78 : 58,917 = 24,788.43 : x
  2. Step 2: Convert to fraction form
    42,696.78/58,917 = 24,788.43/x
  3. Step 3: Cross multiply
    42,696.78x = 58,917 × 24,788.43
  4. Step 4: Simplify right side
    42,696.78x = 1,460,459,930.31
  5. Step 5: Solve for x
    x = 1,460,459,930.31/42,696.78
  6. Step 6: Final answer
    x = 34,205.39

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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.