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Finding the Fourth Proportional to 37,464.31, 51,708 and 24,052.51

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Solution

The fourth proportional to 37,464.31, 51,708 and 24,052.51 is: 33,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,464.31 : 51,708 = 24,052.51 : x
  2. Step 2: Convert to fraction form
    37,464.31/51,708 = 24,052.51/x
  3. Step 3: Cross multiply
    37,464.31x = 51,708 × 24,052.51
  4. Step 4: Simplify right side
    37,464.31x = 1,243,707,187.08
  5. Step 5: Solve for x
    x = 1,243,707,187.08/37,464.31
  6. Step 6: Final answer
    x = 33,197.12

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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.