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Finding the Fourth Proportional to 52,515.96, 78,786.27 and 32,275.26

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Solution

The fourth proportional to 52,515.96, 78,786.27 and 32,275.26 is: 48,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,515.96 : 78,786.27 = 32,275.26 : x
  2. Step 2: Convert to fraction form
    52,515.96/78,786.27 = 32,275.26/x
  3. Step 3: Cross multiply
    52,515.96x = 78,786.27 × 32,275.26
  4. Step 4: Simplify right side
    52,515.96x = 2,542,847,348.68
  5. Step 5: Solve for x
    x = 2,542,847,348.68/52,515.96
  6. Step 6: Final answer
    x = 48,420.47

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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.