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Finding the Fourth Proportional to 38,009.44, 52,467.66 and 34,023.52

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Solution

The fourth proportional to 38,009.44, 52,467.66 and 34,023.52 is: 46,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.44 : 52,467.66 = 34,023.52 : x
  2. Step 2: Convert to fraction form
    38,009.44/52,467.66 = 34,023.52/x
  3. Step 3: Cross multiply
    38,009.44x = 52,467.66 × 34,023.52
  4. Step 4: Simplify right side
    38,009.44x = 1,785,134,479.36
  5. Step 5: Solve for x
    x = 1,785,134,479.36/38,009.44
  6. Step 6: Final answer
    x = 46,965.56

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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.