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Finding the Fourth Proportional to 74,456.42, 111,692.82 and 21,870

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Solution

The fourth proportional to 74,456.42, 111,692.82 and 21,870 is: 32,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,456.42 : 111,692.82 = 21,870 : x
  2. Step 2: Convert to fraction form
    74,456.42/111,692.82 = 21,870/x
  3. Step 3: Cross multiply
    74,456.42x = 111,692.82 × 21,870
  4. Step 4: Simplify right side
    74,456.42x = 2,442,722,055.41
  5. Step 5: Solve for x
    x = 2,442,722,055.41/74,456.42
  6. Step 6: Final answer
    x = 32,807.41

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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.