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Finding the Fourth Proportional to 65,561.92, 90,489.77 and 41,683.93

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Solution

The fourth proportional to 65,561.92, 90,489.77 and 41,683.93 is: 57,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,561.92 : 90,489.77 = 41,683.93 : x
  2. Step 2: Convert to fraction form
    65,561.92/90,489.77 = 41,683.93/x
  3. Step 3: Cross multiply
    65,561.92x = 90,489.77 × 41,683.93
  4. Step 4: Simplify right side
    65,561.92x = 3,771,969,238.40
  5. Step 5: Solve for x
    x = 3,771,969,238.40/65,561.92
  6. Step 6: Final answer
    x = 57,532.93

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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.