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Finding the Fourth Proportional to 37,840.64, 52,216.96 and 21,072

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Solution

The fourth proportional to 37,840.64, 52,216.96 and 21,072 is: 29,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.64 : 52,216.96 = 21,072 : x
  2. Step 2: Convert to fraction form
    37,840.64/52,216.96 = 21,072/x
  3. Step 3: Cross multiply
    37,840.64x = 52,216.96 × 21,072
  4. Step 4: Simplify right side
    37,840.64x = 1,100,315,781.12
  5. Step 5: Solve for x
    x = 1,100,315,781.12/37,840.64
  6. Step 6: Final answer
    x = 29,077.62

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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.