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Finding the Fourth Proportional to 84,895.32, 127,342.84 and 22,565.82

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Solution

The fourth proportional to 84,895.32, 127,342.84 and 22,565.82 is: 33,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,895.32 : 127,342.84 = 22,565.82 : x
  2. Step 2: Convert to fraction form
    84,895.32/127,342.84 = 22,565.82/x
  3. Step 3: Cross multiply
    84,895.32x = 127,342.84 × 22,565.82
  4. Step 4: Simplify right side
    84,895.32x = 2,873,595,605.73
  5. Step 5: Solve for x
    x = 2,873,595,605.73/84,895.32
  6. Step 6: Final answer
    x = 33,848.69

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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.