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Finding the Fourth Proportional to 29,586, 44,357.10 and 17,896.62

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Solution

The fourth proportional to 29,586, 44,357.10 and 17,896.62 is: 26,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 44,357.10 = 17,896.62 : x
  2. Step 2: Convert to fraction form
    29,586/44,357.10 = 17,896.62/x
  3. Step 3: Cross multiply
    29,586x = 44,357.10 × 17,896.62
  4. Step 4: Simplify right side
    29,586x = 793,842,163.00
  5. Step 5: Solve for x
    x = 793,842,163.00/29,586
  6. Step 6: Final answer
    x = 26,831.68

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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.