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Finding the Fourth Proportional to 65,934, 90,983.43 and 37,256.13

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Solution

The fourth proportional to 65,934, 90,983.43 and 37,256.13 is: 51,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 90,983.43 = 37,256.13 : x
  2. Step 2: Convert to fraction form
    65,934/90,983.43 = 37,256.13/x
  3. Step 3: Cross multiply
    65,934x = 90,983.43 × 37,256.13
  4. Step 4: Simplify right side
    65,934x = 3,389,690,495.93
  5. Step 5: Solve for x
    x = 3,389,690,495.93/65,934
  6. Step 6: Final answer
    x = 51,410.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.