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Finding the Fourth Proportional to 56,642.84, 84,952.82 and 53,832.60

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Solution

The fourth proportional to 56,642.84, 84,952.82 and 53,832.60 is: 80,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,642.84 : 84,952.82 = 53,832.60 : x
  2. Step 2: Convert to fraction form
    56,642.84/84,952.82 = 53,832.60/x
  3. Step 3: Cross multiply
    56,642.84x = 84,952.82 × 53,832.60
  4. Step 4: Simplify right side
    56,642.84x = 4,573,231,177.93
  5. Step 5: Solve for x
    x = 4,573,231,177.93/56,642.84
  6. Step 6: Final answer
    x = 80,738.03

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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.