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Finding the Fourth Proportional to 57,142.94, 85,713.50 and 15,589.94

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Solution

The fourth proportional to 57,142.94, 85,713.50 and 15,589.94 is: 23,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.94 : 85,713.50 = 15,589.94 : x
  2. Step 2: Convert to fraction form
    57,142.94/85,713.50 = 15,589.94/x
  3. Step 3: Cross multiply
    57,142.94x = 85,713.50 × 15,589.94
  4. Step 4: Simplify right side
    57,142.94x = 1,336,268,322.19
  5. Step 5: Solve for x
    x = 1,336,268,322.19/57,142.94
  6. Step 6: Final answer
    x = 23,384.66

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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.