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Finding the Fourth Proportional to 32,212.13, 44,457.59 and 19,644.17

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Solution

The fourth proportional to 32,212.13, 44,457.59 and 19,644.17 is: 27,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.13 : 44,457.59 = 19,644.17 : x
  2. Step 2: Convert to fraction form
    32,212.13/44,457.59 = 19,644.17/x
  3. Step 3: Cross multiply
    32,212.13x = 44,457.59 × 19,644.17
  4. Step 4: Simplify right side
    32,212.13x = 873,332,282.57
  5. Step 5: Solve for x
    x = 873,332,282.57/32,212.13
  6. Step 6: Final answer
    x = 27,111.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.