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Finding the Fourth Proportional to 37,184.72, 51,314.04 and 21,871.28

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Solution

The fourth proportional to 37,184.72, 51,314.04 and 21,871.28 is: 30,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.72 : 51,314.04 = 21,871.28 : x
  2. Step 2: Convert to fraction form
    37,184.72/51,314.04 = 21,871.28/x
  3. Step 3: Cross multiply
    37,184.72x = 51,314.04 × 21,871.28
  4. Step 4: Simplify right side
    37,184.72x = 1,122,303,736.77
  5. Step 5: Solve for x
    x = 1,122,303,736.77/37,184.72
  6. Step 6: Final answer
    x = 30,181.85

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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.