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Finding the Fourth Proportional to 52,039.04, 71,844.78 and 34,165.28

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Solution

The fourth proportional to 52,039.04, 71,844.78 and 34,165.28 is: 47,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.04 : 71,844.78 = 34,165.28 : x
  2. Step 2: Convert to fraction form
    52,039.04/71,844.78 = 34,165.28/x
  3. Step 3: Cross multiply
    52,039.04x = 71,844.78 × 34,165.28
  4. Step 4: Simplify right side
    52,039.04x = 2,454,597,025.24
  5. Step 5: Solve for x
    x = 2,454,597,025.24/52,039.04
  6. Step 6: Final answer
    x = 47,168.38

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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.