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Finding the Fourth Proportional to 55,405.92, 82,989.51 and 37,538.56

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Solution

The fourth proportional to 55,405.92, 82,989.51 and 37,538.56 is: 56,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.92 : 82,989.51 = 37,538.56 : x
  2. Step 2: Convert to fraction form
    55,405.92/82,989.51 = 37,538.56/x
  3. Step 3: Cross multiply
    55,405.92x = 82,989.51 × 37,538.56
  4. Step 4: Simplify right side
    55,405.92x = 3,115,306,407.81
  5. Step 5: Solve for x
    x = 3,115,306,407.81/55,405.92
  6. Step 6: Final answer
    x = 56,226.96

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Why These Related Problems?

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