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Finding the Fourth Proportional to 64,576.26, 96,864.26 and 17,829

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Solution

The fourth proportional to 64,576.26, 96,864.26 and 17,829 is: 26,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,576.26 : 96,864.26 = 17,829 : x
  2. Step 2: Convert to fraction form
    64,576.26/96,864.26 = 17,829/x
  3. Step 3: Cross multiply
    64,576.26x = 96,864.26 × 17,829
  4. Step 4: Simplify right side
    64,576.26x = 1,726,992,802.40
  5. Step 5: Solve for x
    x = 1,726,992,802.40/64,576.26
  6. Step 6: Final answer
    x = 26,743.46

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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.