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Finding the Fourth Proportional to 31,993.84, 47,921.50 and 20,866.77

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Solution

The fourth proportional to 31,993.84, 47,921.50 and 20,866.77 is: 31,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.84 : 47,921.50 = 20,866.77 : x
  2. Step 2: Convert to fraction form
    31,993.84/47,921.50 = 20,866.77/x
  3. Step 3: Cross multiply
    31,993.84x = 47,921.50 × 20,866.77
  4. Step 4: Simplify right side
    31,993.84x = 999,966,866.39
  5. Step 5: Solve for x
    x = 999,966,866.39/31,993.84
  6. Step 6: Final answer
    x = 31,254.98

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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.