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Finding the Fourth Proportional to 37,790, 52,150.20 and 21,023

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Solution

The fourth proportional to 37,790, 52,150.20 and 21,023 is: 29,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,790 : 52,150.20 = 21,023 : x
  2. Step 2: Convert to fraction form
    37,790/52,150.20 = 21,023/x
  3. Step 3: Cross multiply
    37,790x = 52,150.20 × 21,023
  4. Step 4: Simplify right side
    37,790x = 1,096,353,654.60
  5. Step 5: Solve for x
    x = 1,096,353,654.60/37,790
  6. Step 6: Final answer
    x = 29,011.74

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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.