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Finding the Fourth Proportional to 65,863.78, 98,814.16 and 26,448.57

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Solution

The fourth proportional to 65,863.78, 98,814.16 and 26,448.57 is: 39,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.78 : 98,814.16 = 26,448.57 : x
  2. Step 2: Convert to fraction form
    65,863.78/98,814.16 = 26,448.57/x
  3. Step 3: Cross multiply
    65,863.78x = 98,814.16 × 26,448.57
  4. Step 4: Simplify right side
    65,863.78x = 2,613,493,260.81
  5. Step 5: Solve for x
    x = 2,613,493,260.81/65,863.78
  6. Step 6: Final answer
    x = 39,680.28

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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.