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Finding the Fourth Proportional to 51,938.78, 71,641.11 and 32,032.22

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Solution

The fourth proportional to 51,938.78, 71,641.11 and 32,032.22 is: 44,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,938.78 : 71,641.11 = 32,032.22 : x
  2. Step 2: Convert to fraction form
    51,938.78/71,641.11 = 32,032.22/x
  3. Step 3: Cross multiply
    51,938.78x = 71,641.11 × 32,032.22
  4. Step 4: Simplify right side
    51,938.78x = 2,294,823,796.56
  5. Step 5: Solve for x
    x = 2,294,823,796.56/51,938.78
  6. Step 6: Final answer
    x = 44,183.24

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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.