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Finding the Fourth Proportional to 37,533.65, 51,678.41 and 31,856.56

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Solution

The fourth proportional to 37,533.65, 51,678.41 and 31,856.56 is: 43,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.65 : 51,678.41 = 31,856.56 : x
  2. Step 2: Convert to fraction form
    37,533.65/51,678.41 = 31,856.56/x
  3. Step 3: Cross multiply
    37,533.65x = 51,678.41 × 31,856.56
  4. Step 4: Simplify right side
    37,533.65x = 1,646,296,080.39
  5. Step 5: Solve for x
    x = 1,646,296,080.39/37,533.65
  6. Step 6: Final answer
    x = 43,861.88

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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.