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Finding the Fourth Proportional to 52,589.64, 72,583.05 and 31,078.47

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Solution

The fourth proportional to 52,589.64, 72,583.05 and 31,078.47 is: 42,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,589.64 : 72,583.05 = 31,078.47 : x
  2. Step 2: Convert to fraction form
    52,589.64/72,583.05 = 31,078.47/x
  3. Step 3: Cross multiply
    52,589.64x = 72,583.05 × 31,078.47
  4. Step 4: Simplify right side
    52,589.64x = 2,255,770,141.93
  5. Step 5: Solve for x
    x = 2,255,770,141.93/52,589.64
  6. Step 6: Final answer
    x = 42,893.81

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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.