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Finding the Fourth Proportional to 65,406.69, 98,124.66 and 23,853.69

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Solution

The fourth proportional to 65,406.69, 98,124.66 and 23,853.69 is: 35,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.69 : 98,124.66 = 23,853.69 : x
  2. Step 2: Convert to fraction form
    65,406.69/98,124.66 = 23,853.69/x
  3. Step 3: Cross multiply
    65,406.69x = 98,124.66 × 23,853.69
  4. Step 4: Simplify right side
    65,406.69x = 2,340,635,221.00
  5. Step 5: Solve for x
    x = 2,340,635,221.00/65,406.69
  6. Step 6: Final answer
    x = 35,785.87

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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.