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Finding the Fourth Proportional to 34,599, 51,863.13 and 12,102.97

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Solution

The fourth proportional to 34,599, 51,863.13 and 12,102.97 is: 18,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,599 : 51,863.13 = 12,102.97 : x
  2. Step 2: Convert to fraction form
    34,599/51,863.13 = 12,102.97/x
  3. Step 3: Cross multiply
    34,599x = 51,863.13 × 12,102.97
  4. Step 4: Simplify right side
    34,599x = 627,697,906.50
  5. Step 5: Solve for x
    x = 627,697,906.50/34,599
  6. Step 6: Final answer
    x = 18,142.08

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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.