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Finding the Fourth Proportional to 31,376.57, 47,067.02 and 12,656.77

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Solution

The fourth proportional to 31,376.57, 47,067.02 and 12,656.77 is: 18,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.57 : 47,067.02 = 12,656.77 : x
  2. Step 2: Convert to fraction form
    31,376.57/47,067.02 = 12,656.77/x
  3. Step 3: Cross multiply
    31,376.57x = 47,067.02 × 12,656.77
  4. Step 4: Simplify right side
    31,376.57x = 595,716,360.70
  5. Step 5: Solve for x
    x = 595,716,360.70/31,376.57
  6. Step 6: Final answer
    x = 18,986.02

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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.