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Finding the Fourth Proportional to 65,741, 90,724.02 and 35,933

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Solution

The fourth proportional to 65,741, 90,724.02 and 35,933 is: 49,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741 : 90,724.02 = 35,933 : x
  2. Step 2: Convert to fraction form
    65,741/90,724.02 = 35,933/x
  3. Step 3: Cross multiply
    65,741x = 90,724.02 × 35,933
  4. Step 4: Simplify right side
    65,741x = 3,259,986,210.66
  5. Step 5: Solve for x
    x = 3,259,986,210.66/65,741
  6. Step 6: Final answer
    x = 49,588.33

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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.