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Finding the Fourth Proportional to 38,134.88, 52,632.52 and 22,228.64

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Solution

The fourth proportional to 38,134.88, 52,632.52 and 22,228.64 is: 30,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.88 : 52,632.52 = 22,228.64 : x
  2. Step 2: Convert to fraction form
    38,134.88/52,632.52 = 22,228.64/x
  3. Step 3: Cross multiply
    38,134.88x = 52,632.52 × 22,228.64
  4. Step 4: Simplify right side
    38,134.88x = 1,169,949,339.37
  5. Step 5: Solve for x
    x = 1,169,949,339.37/38,134.88
  6. Step 6: Final answer
    x = 30,679.25

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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.