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Finding the Fourth Proportional to 31,600.80, 47,392.56 and 11,877.84

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Solution

The fourth proportional to 31,600.80, 47,392.56 and 11,877.84 is: 17,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.80 : 47,392.56 = 11,877.84 : x
  2. Step 2: Convert to fraction form
    31,600.80/47,392.56 = 11,877.84/x
  3. Step 3: Cross multiply
    31,600.80x = 47,392.56 × 11,877.84
  4. Step 4: Simplify right side
    31,600.80x = 562,921,244.87
  5. Step 5: Solve for x
    x = 562,921,244.87/31,600.80
  6. Step 6: Final answer
    x = 17,813.51

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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.