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Finding the Fourth Proportional to 51,765.86, 71,454.48 and 35,871.23

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Solution

The fourth proportional to 51,765.86, 71,454.48 and 35,871.23 is: 49,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.86 : 71,454.48 = 35,871.23 : x
  2. Step 2: Convert to fraction form
    51,765.86/71,454.48 = 35,871.23/x
  3. Step 3: Cross multiply
    51,765.86x = 71,454.48 × 35,871.23
  4. Step 4: Simplify right side
    51,765.86x = 2,563,160,086.61
  5. Step 5: Solve for x
    x = 2,563,160,086.61/51,765.86
  6. Step 6: Final answer
    x = 49,514.49

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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.