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Finding the Fourth Proportional to 37,829, 52,204.10 and 21,065.96

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Solution

The fourth proportional to 37,829, 52,204.10 and 21,065.96 is: 29,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,829 : 52,204.10 = 21,065.96 : x
  2. Step 2: Convert to fraction form
    37,829/52,204.10 = 21,065.96/x
  3. Step 3: Cross multiply
    37,829x = 52,204.10 × 21,065.96
  4. Step 4: Simplify right side
    37,829x = 1,099,729,482.44
  5. Step 5: Solve for x
    x = 1,099,729,482.44/37,829
  6. Step 6: Final answer
    x = 29,071.07

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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.