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Finding the Fourth Proportional to 55,340.87, 83,011.31 and 30,538.56

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Solution

The fourth proportional to 55,340.87, 83,011.31 and 30,538.56 is: 45,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,340.87 : 83,011.31 = 30,538.56 : x
  2. Step 2: Convert to fraction form
    55,340.87/83,011.31 = 30,538.56/x
  3. Step 3: Cross multiply
    55,340.87x = 83,011.31 × 30,538.56
  4. Step 4: Simplify right side
    55,340.87x = 2,535,045,718.42
  5. Step 5: Solve for x
    x = 2,535,045,718.42/55,340.87
  6. Step 6: Final answer
    x = 45,807.84

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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.