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Finding the Fourth Proportional to 57,864.32, 86,796.48 and 54,909.44

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Solution

The fourth proportional to 57,864.32, 86,796.48 and 54,909.44 is: 82,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864.32 : 86,796.48 = 54,909.44 : x
  2. Step 2: Convert to fraction form
    57,864.32/86,796.48 = 54,909.44/x
  3. Step 3: Cross multiply
    57,864.32x = 86,796.48 × 54,909.44
  4. Step 4: Simplify right side
    57,864.32x = 4,765,946,110.77
  5. Step 5: Solve for x
    x = 4,765,946,110.77/57,864.32
  6. Step 6: Final answer
    x = 82,364.16

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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.