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Finding the Fourth Proportional to 56,202.12, 84,308.82 and 16,222.10

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Solution

The fourth proportional to 56,202.12, 84,308.82 and 16,222.10 is: 24,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.12 : 84,308.82 = 16,222.10 : x
  2. Step 2: Convert to fraction form
    56,202.12/84,308.82 = 16,222.10/x
  3. Step 3: Cross multiply
    56,202.12x = 84,308.82 × 16,222.10
  4. Step 4: Simplify right side
    56,202.12x = 1,367,666,108.92
  5. Step 5: Solve for x
    x = 1,367,666,108.92/56,202.12
  6. Step 6: Final answer
    x = 24,334.78

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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.