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Finding the Fourth Proportional to 64,564, 96,849.66 and 23,011

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Solution

The fourth proportional to 64,564, 96,849.66 and 23,011 is: 34,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564 : 96,849.66 = 23,011 : x
  2. Step 2: Convert to fraction form
    64,564/96,849.66 = 23,011/x
  3. Step 3: Cross multiply
    64,564x = 96,849.66 × 23,011
  4. Step 4: Simplify right side
    64,564x = 2,228,607,526.26
  5. Step 5: Solve for x
    x = 2,228,607,526.26/64,564
  6. Step 6: Final answer
    x = 34,517.80

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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.