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Finding the Fourth Proportional to 64,038.32, 96,067.08 and 22,482

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Solution

The fourth proportional to 64,038.32, 96,067.08 and 22,482 is: 33,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038.32 : 96,067.08 = 22,482 : x
  2. Step 2: Convert to fraction form
    64,038.32/96,067.08 = 22,482/x
  3. Step 3: Cross multiply
    64,038.32x = 96,067.08 × 22,482
  4. Step 4: Simplify right side
    64,038.32x = 2,159,780,092.56
  5. Step 5: Solve for x
    x = 2,159,780,092.56/64,038.32
  6. Step 6: Final answer
    x = 33,726.37

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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.