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Finding the Fourth Proportional to 30,822.62, 42,535.14 and 16,675.70

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Solution

The fourth proportional to 30,822.62, 42,535.14 and 16,675.70 is: 23,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.62 : 42,535.14 = 16,675.70 : x
  2. Step 2: Convert to fraction form
    30,822.62/42,535.14 = 16,675.70/x
  3. Step 3: Cross multiply
    30,822.62x = 42,535.14 × 16,675.70
  4. Step 4: Simplify right side
    30,822.62x = 709,303,234.10
  5. Step 5: Solve for x
    x = 709,303,234.10/30,822.62
  6. Step 6: Final answer
    x = 23,012.43

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