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Finding the Fourth Proportional to 31,948.37, 47,924.87 and 12,963.89

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Solution

The fourth proportional to 31,948.37, 47,924.87 and 12,963.89 is: 19,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,948.37 : 47,924.87 = 12,963.89 : x
  2. Step 2: Convert to fraction form
    31,948.37/47,924.87 = 12,963.89/x
  3. Step 3: Cross multiply
    31,948.37x = 47,924.87 × 12,963.89
  4. Step 4: Simplify right side
    31,948.37x = 621,292,438.50
  5. Step 5: Solve for x
    x = 621,292,438.50/31,948.37
  6. Step 6: Final answer
    x = 19,446.77

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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.