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Finding the Fourth Proportional to 37,065.72, 51,138 and 21,138.72

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Solution

The fourth proportional to 37,065.72, 51,138 and 21,138.72 is: 29,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065.72 : 51,138 = 21,138.72 : x
  2. Step 2: Convert to fraction form
    37,065.72/51,138 = 21,138.72/x
  3. Step 3: Cross multiply
    37,065.72x = 51,138 × 21,138.72
  4. Step 4: Simplify right side
    37,065.72x = 1,080,991,863.36
  5. Step 5: Solve for x
    x = 1,080,991,863.36/37,065.72
  6. Step 6: Final answer
    x = 29,164.19

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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.