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Finding the Fourth Proportional to 68,695.75, 103,058.36 and 21,309.83

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Solution

The fourth proportional to 68,695.75, 103,058.36 and 21,309.83 is: 31,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,695.75 : 103,058.36 = 21,309.83 : x
  2. Step 2: Convert to fraction form
    68,695.75/103,058.36 = 21,309.83/x
  3. Step 3: Cross multiply
    68,695.75x = 103,058.36 × 21,309.83
  4. Step 4: Simplify right side
    68,695.75x = 2,196,156,555.92
  5. Step 5: Solve for x
    x = 2,196,156,555.92/68,695.75
  6. Step 6: Final answer
    x = 31,969.32

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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.