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Finding the Fourth Proportional to 29,705.52, 40,994.04 and 16,278

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Solution

The fourth proportional to 29,705.52, 40,994.04 and 16,278 is: 22,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.52 : 40,994.04 = 16,278 : x
  2. Step 2: Convert to fraction form
    29,705.52/40,994.04 = 16,278/x
  3. Step 3: Cross multiply
    29,705.52x = 40,994.04 × 16,278
  4. Step 4: Simplify right side
    29,705.52x = 667,300,983.12
  5. Step 5: Solve for x
    x = 667,300,983.12/29,705.52
  6. Step 6: Final answer
    x = 22,463.87

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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.