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Finding the Fourth Proportional to 50,165.32, 69,228.92 and 27,506.38

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Solution

The fourth proportional to 50,165.32, 69,228.92 and 27,506.38 is: 37,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,165.32 : 69,228.92 = 27,506.38 : x
  2. Step 2: Convert to fraction form
    50,165.32/69,228.92 = 27,506.38/x
  3. Step 3: Cross multiply
    50,165.32x = 69,228.92 × 27,506.38
  4. Step 4: Simplify right side
    50,165.32x = 1,904,236,980.51
  5. Step 5: Solve for x
    x = 1,904,236,980.51/50,165.32
  6. Step 6: Final answer
    x = 37,959.23

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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.