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Finding the Fourth Proportional to 37,212.70, 51,358 and 21,296.81

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Solution

The fourth proportional to 37,212.70, 51,358 and 21,296.81 is: 29,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212.70 : 51,358 = 21,296.81 : x
  2. Step 2: Convert to fraction form
    37,212.70/51,358 = 21,296.81/x
  3. Step 3: Cross multiply
    37,212.70x = 51,358 × 21,296.81
  4. Step 4: Simplify right side
    37,212.70x = 1,093,761,311.19
  5. Step 5: Solve for x
    x = 1,093,761,311.19/37,212.70
  6. Step 6: Final answer
    x = 29,392.16

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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.