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Finding the Fourth Proportional to 64,596.25, 96,894.78 and 17,849.53

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Solution

The fourth proportional to 64,596.25, 96,894.78 and 17,849.53 is: 26,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596.25 : 96,894.78 = 17,849.53 : x
  2. Step 2: Convert to fraction form
    64,596.25/96,894.78 = 17,849.53/x
  3. Step 3: Cross multiply
    64,596.25x = 96,894.78 × 17,849.53
  4. Step 4: Simplify right side
    64,596.25x = 1,729,526,282.45
  5. Step 5: Solve for x
    x = 1,729,526,282.45/64,596.25
  6. Step 6: Final answer
    x = 26,774.41

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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.