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Finding the Fourth Proportional to 52,509.72, 72,422.46 and 33,648.60

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Solution

The fourth proportional to 52,509.72, 72,422.46 and 33,648.60 is: 46,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.72 : 72,422.46 = 33,648.60 : x
  2. Step 2: Convert to fraction form
    52,509.72/72,422.46 = 33,648.60/x
  3. Step 3: Cross multiply
    52,509.72x = 72,422.46 × 33,648.60
  4. Step 4: Simplify right side
    52,509.72x = 2,436,914,387.56
  5. Step 5: Solve for x
    x = 2,436,914,387.56/52,509.72
  6. Step 6: Final answer
    x = 46,408.82

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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.