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Finding the Fourth Proportional to 37,828, 52,202.64 and 21,062.08

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Solution

The fourth proportional to 37,828, 52,202.64 and 21,062.08 is: 29,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828 : 52,202.64 = 21,062.08 : x
  2. Step 2: Convert to fraction form
    37,828/52,202.64 = 21,062.08/x
  3. Step 3: Cross multiply
    37,828x = 52,202.64 × 21,062.08
  4. Step 4: Simplify right side
    37,828x = 1,099,496,179.89
  5. Step 5: Solve for x
    x = 1,099,496,179.89/37,828
  6. Step 6: Final answer
    x = 29,065.67

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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.