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Finding the Fourth Proportional to 31,658.62, 47,470.37 and 12,951.80

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Solution

The fourth proportional to 31,658.62, 47,470.37 and 12,951.80 is: 19,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.62 : 47,470.37 = 12,951.80 : x
  2. Step 2: Convert to fraction form
    31,658.62/47,470.37 = 12,951.80/x
  3. Step 3: Cross multiply
    31,658.62x = 47,470.37 × 12,951.80
  4. Step 4: Simplify right side
    31,658.62x = 614,826,533.19
  5. Step 5: Solve for x
    x = 614,826,533.19/31,658.62
  6. Step 6: Final answer
    x = 19,420.51

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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.