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Finding the Fourth Proportional to 52,874.48, 72,941.62 and 31,649.64

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Solution

The fourth proportional to 52,874.48, 72,941.62 and 31,649.64 is: 43,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,874.48 : 72,941.62 = 31,649.64 : x
  2. Step 2: Convert to fraction form
    52,874.48/72,941.62 = 31,649.64/x
  3. Step 3: Cross multiply
    52,874.48x = 72,941.62 × 31,649.64
  4. Step 4: Simplify right side
    52,874.48x = 2,308,576,014.02
  5. Step 5: Solve for x
    x = 2,308,576,014.02/52,874.48
  6. Step 6: Final answer
    x = 43,661.44

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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.