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Finding the Fourth Proportional to 159,542.64, 239,305.32 and 48,726

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Solution

The fourth proportional to 159,542.64, 239,305.32 and 48,726 is: 73,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,542.64 : 239,305.32 = 48,726 : x
  2. Step 2: Convert to fraction form
    159,542.64/239,305.32 = 48,726/x
  3. Step 3: Cross multiply
    159,542.64x = 239,305.32 × 48,726
  4. Step 4: Simplify right side
    159,542.64x = 11,660,391,022.32
  5. Step 5: Solve for x
    x = 11,660,391,022.32/159,542.64
  6. Step 6: Final answer
    x = 73,086.36

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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.