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Finding the Fourth Proportional to 56,717.28, 78,266.52 and 32,842.26

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Solution

The fourth proportional to 56,717.28, 78,266.52 and 32,842.26 is: 45,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,717.28 : 78,266.52 = 32,842.26 : x
  2. Step 2: Convert to fraction form
    56,717.28/78,266.52 = 32,842.26/x
  3. Step 3: Cross multiply
    56,717.28x = 78,266.52 × 32,842.26
  4. Step 4: Simplify right side
    56,717.28x = 2,570,449,399.14
  5. Step 5: Solve for x
    x = 2,570,449,399.14/56,717.28
  6. Step 6: Final answer
    x = 45,320.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.