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Finding the Fourth Proportional to 68,708.84, 103,058.22 and 21,949.16

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Solution

The fourth proportional to 68,708.84, 103,058.22 and 21,949.16 is: 32,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,708.84 : 103,058.22 = 21,949.16 : x
  2. Step 2: Convert to fraction form
    68,708.84/103,058.22 = 21,949.16/x
  3. Step 3: Cross multiply
    68,708.84x = 103,058.22 × 21,949.16
  4. Step 4: Simplify right side
    68,708.84x = 2,262,041,360.10
  5. Step 5: Solve for x
    x = 2,262,041,360.10/68,708.84
  6. Step 6: Final answer
    x = 32,922.13

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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.