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Finding the Fourth Proportional to 37,540.80, 51,753.60 and 23,384.16

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Solution

The fourth proportional to 37,540.80, 51,753.60 and 23,384.16 is: 32,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,540.80 : 51,753.60 = 23,384.16 : x
  2. Step 2: Convert to fraction form
    37,540.80/51,753.60 = 23,384.16/x
  3. Step 3: Cross multiply
    37,540.80x = 51,753.60 × 23,384.16
  4. Step 4: Simplify right side
    37,540.80x = 1,210,214,462.98
  5. Step 5: Solve for x
    x = 1,210,214,462.98/37,540.80
  6. Step 6: Final answer
    x = 32,237.31

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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.