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Finding the Fourth Proportional to 83,058, 124,638.84 and 33,810

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Solution

The fourth proportional to 83,058, 124,638.84 and 33,810 is: 50,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058 : 124,638.84 = 33,810 : x
  2. Step 2: Convert to fraction form
    83,058/124,638.84 = 33,810/x
  3. Step 3: Cross multiply
    83,058x = 124,638.84 × 33,810
  4. Step 4: Simplify right side
    83,058x = 4,214,039,180.40
  5. Step 5: Solve for x
    x = 4,214,039,180.40/83,058
  6. Step 6: Final answer
    x = 50,736.10

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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.