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Finding the Fourth Proportional to 53,437.74, 73,745.46 and 32,218.38

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Solution

The fourth proportional to 53,437.74, 73,745.46 and 32,218.38 is: 44,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,437.74 : 73,745.46 = 32,218.38 : x
  2. Step 2: Convert to fraction form
    53,437.74/73,745.46 = 32,218.38/x
  3. Step 3: Cross multiply
    53,437.74x = 73,745.46 × 32,218.38
  4. Step 4: Simplify right side
    53,437.74x = 2,375,959,253.55
  5. Step 5: Solve for x
    x = 2,375,959,253.55/53,437.74
  6. Step 6: Final answer
    x = 44,462.20

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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.