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Finding the Fourth Proportional to 65,523.28, 98,284.86 and 16,275.28

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Solution

The fourth proportional to 65,523.28, 98,284.86 and 16,275.28 is: 24,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,523.28 : 98,284.86 = 16,275.28 : x
  2. Step 2: Convert to fraction form
    65,523.28/98,284.86 = 16,275.28/x
  3. Step 3: Cross multiply
    65,523.28x = 98,284.86 × 16,275.28
  4. Step 4: Simplify right side
    65,523.28x = 1,599,613,616.26
  5. Step 5: Solve for x
    x = 1,599,613,616.26/65,523.28
  6. Step 6: Final answer
    x = 24,412.91

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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.