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Finding the Fourth Proportional to 31,692.84, 43,689.52 and 24,125.98

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Solution

The fourth proportional to 31,692.84, 43,689.52 and 24,125.98 is: 33,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,692.84 : 43,689.52 = 24,125.98 : x
  2. Step 2: Convert to fraction form
    31,692.84/43,689.52 = 24,125.98/x
  3. Step 3: Cross multiply
    31,692.84x = 43,689.52 × 24,125.98
  4. Step 4: Simplify right side
    31,692.84x = 1,054,052,485.73
  5. Step 5: Solve for x
    x = 1,054,052,485.73/31,692.84
  6. Step 6: Final answer
    x = 33,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.