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Finding the Fourth Proportional to 64,234, 96,352.22 and 17,488.09

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Solution

The fourth proportional to 64,234, 96,352.22 and 17,488.09 is: 26,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,234 : 96,352.22 = 17,488.09 : x
  2. Step 2: Convert to fraction form
    64,234/96,352.22 = 17,488.09/x
  3. Step 3: Cross multiply
    64,234x = 96,352.22 × 17,488.09
  4. Step 4: Simplify right side
    64,234x = 1,685,016,295.06
  5. Step 5: Solve for x
    x = 1,685,016,295.06/64,234
  6. Step 6: Final answer
    x = 26,232.47

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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.