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Finding the Fourth Proportional to 37,024.16, 55,535.76 and 8,944

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Solution

The fourth proportional to 37,024.16, 55,535.76 and 8,944 is: 13,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024.16 : 55,535.76 = 8,944 : x
  2. Step 2: Convert to fraction form
    37,024.16/55,535.76 = 8,944/x
  3. Step 3: Cross multiply
    37,024.16x = 55,535.76 × 8,944
  4. Step 4: Simplify right side
    37,024.16x = 496,711,837.44
  5. Step 5: Solve for x
    x = 496,711,837.44/37,024.16
  6. Step 6: Final answer
    x = 13,415.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.