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Finding the Fourth Proportional to 64,560, 96,843.66 and 23,007

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Solution

The fourth proportional to 64,560, 96,843.66 and 23,007 is: 34,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 96,843.66 = 23,007 : x
  2. Step 2: Convert to fraction form
    64,560/96,843.66 = 23,007/x
  3. Step 3: Cross multiply
    64,560x = 96,843.66 × 23,007
  4. Step 4: Simplify right side
    64,560x = 2,228,082,085.62
  5. Step 5: Solve for x
    x = 2,228,082,085.62/64,560
  6. Step 6: Final answer
    x = 34,511.80

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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.