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Finding the Fourth Proportional to 79,172.13, 109,257.89 and 42,874.05

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Solution

The fourth proportional to 79,172.13, 109,257.89 and 42,874.05 is: 59,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,172.13 : 109,257.89 = 42,874.05 : x
  2. Step 2: Convert to fraction form
    79,172.13/109,257.89 = 42,874.05/x
  3. Step 3: Cross multiply
    79,172.13x = 109,257.89 × 42,874.05
  4. Step 4: Simplify right side
    79,172.13x = 4,684,328,024.38
  5. Step 5: Solve for x
    x = 4,684,328,024.38/79,172.13
  6. Step 6: Final answer
    x = 59,166.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.