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Finding the Fourth Proportional to 29,332.43, 43,994.72 and 8,274.16

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Solution

The fourth proportional to 29,332.43, 43,994.72 and 8,274.16 is: 12,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,332.43 : 43,994.72 = 8,274.16 : x
  2. Step 2: Convert to fraction form
    29,332.43/43,994.72 = 8,274.16/x
  3. Step 3: Cross multiply
    29,332.43x = 43,994.72 × 8,274.16
  4. Step 4: Simplify right side
    29,332.43x = 364,019,132.46
  5. Step 5: Solve for x
    x = 364,019,132.46/29,332.43
  6. Step 6: Final answer
    x = 12,410.13

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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.