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Finding the Fourth Proportional to 37,787, 52,146.06 and 21,020

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Solution

The fourth proportional to 37,787, 52,146.06 and 21,020 is: 29,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,787 : 52,146.06 = 21,020 : x
  2. Step 2: Convert to fraction form
    37,787/52,146.06 = 21,020/x
  3. Step 3: Cross multiply
    37,787x = 52,146.06 × 21,020
  4. Step 4: Simplify right side
    37,787x = 1,096,110,181.20
  5. Step 5: Solve for x
    x = 1,096,110,181.20/37,787
  6. Step 6: Final answer
    x = 29,007.60

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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.