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Finding the Fourth Proportional to 56,872.48, 85,282.80 and 29,189.92

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Solution

The fourth proportional to 56,872.48, 85,282.80 and 29,189.92 is: 43,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,872.48 : 85,282.80 = 29,189.92 : x
  2. Step 2: Convert to fraction form
    56,872.48/85,282.80 = 29,189.92/x
  3. Step 3: Cross multiply
    56,872.48x = 85,282.80 × 29,189.92
  4. Step 4: Simplify right side
    56,872.48x = 2,489,398,109.38
  5. Step 5: Solve for x
    x = 2,489,398,109.38/56,872.48
  6. Step 6: Final answer
    x = 43,771.58

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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.