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Finding the Fourth Proportional to 68,058.73, 102,088.10 and 21,315.25

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Solution

The fourth proportional to 68,058.73, 102,088.10 and 21,315.25 is: 31,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058.73 : 102,088.10 = 21,315.25 : x
  2. Step 2: Convert to fraction form
    68,058.73/102,088.10 = 21,315.25/x
  3. Step 3: Cross multiply
    68,058.73x = 102,088.10 × 21,315.25
  4. Step 4: Simplify right side
    68,058.73x = 2,176,033,373.53
  5. Step 5: Solve for x
    x = 2,176,033,373.53/68,058.73
  6. Step 6: Final answer
    x = 31,972.88

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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.