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Finding the Fourth Proportional to 84,894.82, 127,342.08 and 22,565.32

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Solution

The fourth proportional to 84,894.82, 127,342.08 and 22,565.32 is: 33,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,894.82 : 127,342.08 = 22,565.32 : x
  2. Step 2: Convert to fraction form
    84,894.82/127,342.08 = 22,565.32/x
  3. Step 3: Cross multiply
    84,894.82x = 127,342.08 × 22,565.32
  4. Step 4: Simplify right side
    84,894.82x = 2,873,514,784.67
  5. Step 5: Solve for x
    x = 2,873,514,784.67/84,894.82
  6. Step 6: Final answer
    x = 33,847.94

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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.