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Finding the Fourth Proportional to 65,784.03, 98,632.67 and 23,642.97

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Solution

The fourth proportional to 65,784.03, 98,632.67 and 23,642.97 is: 35,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.03 : 98,632.67 = 23,642.97 : x
  2. Step 2: Convert to fraction form
    65,784.03/98,632.67 = 23,642.97/x
  3. Step 3: Cross multiply
    65,784.03x = 98,632.67 × 23,642.97
  4. Step 4: Simplify right side
    65,784.03x = 2,331,969,139.62
  5. Step 5: Solve for x
    x = 2,331,969,139.62/65,784.03
  6. Step 6: Final answer
    x = 35,448.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.