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Finding the Fourth Proportional to 57,129.87, 85,727.60 and 44,614.77

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Solution

The fourth proportional to 57,129.87, 85,727.60 and 44,614.77 is: 66,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,129.87 : 85,727.60 = 44,614.77 : x
  2. Step 2: Convert to fraction form
    57,129.87/85,727.60 = 44,614.77/x
  3. Step 3: Cross multiply
    57,129.87x = 85,727.60 × 44,614.77
  4. Step 4: Simplify right side
    57,129.87x = 3,824,717,268.19
  5. Step 5: Solve for x
    x = 3,824,717,268.19/57,129.87
  6. Step 6: Final answer
    x = 66,947.77

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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.