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Finding the Fourth Proportional to 29,220.38, 40,314.63 and 17,878.05

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Solution

The fourth proportional to 29,220.38, 40,314.63 and 17,878.05 is: 24,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,220.38 : 40,314.63 = 17,878.05 : x
  2. Step 2: Convert to fraction form
    29,220.38/40,314.63 = 17,878.05/x
  3. Step 3: Cross multiply
    29,220.38x = 40,314.63 × 17,878.05
  4. Step 4: Simplify right side
    29,220.38x = 720,746,937.35
  5. Step 5: Solve for x
    x = 720,746,937.35/29,220.38
  6. Step 6: Final answer
    x = 24,665.90

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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.