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Finding the Fourth Proportional to 65,757.71, 90,738.19 and 38,890.42

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Solution

The fourth proportional to 65,757.71, 90,738.19 and 38,890.42 is: 53,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.71 : 90,738.19 = 38,890.42 : x
  2. Step 2: Convert to fraction form
    65,757.71/90,738.19 = 38,890.42/x
  3. Step 3: Cross multiply
    65,757.71x = 90,738.19 × 38,890.42
  4. Step 4: Simplify right side
    65,757.71x = 3,528,845,671.00
  5. Step 5: Solve for x
    x = 3,528,845,671.00/65,757.71
  6. Step 6: Final answer
    x = 53,664.36

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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.