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Finding the Fourth Proportional to 68,116.29, 102,190.01 and 20,738.13

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Solution

The fourth proportional to 68,116.29, 102,190.01 and 20,738.13 is: 31,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,116.29 : 102,190.01 = 20,738.13 : x
  2. Step 2: Convert to fraction form
    68,116.29/102,190.01 = 20,738.13/x
  3. Step 3: Cross multiply
    68,116.29x = 102,190.01 × 20,738.13
  4. Step 4: Simplify right side
    68,116.29x = 2,119,229,225.18
  5. Step 5: Solve for x
    x = 2,119,229,225.18/68,116.29
  6. Step 6: Final answer
    x = 31,111.93

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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.