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Finding the Fourth Proportional to 31,049.64, 42,848.28 and 16,902.12

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Solution

The fourth proportional to 31,049.64, 42,848.28 and 16,902.12 is: 23,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.64 : 42,848.28 = 16,902.12 : x
  2. Step 2: Convert to fraction form
    31,049.64/42,848.28 = 16,902.12/x
  3. Step 3: Cross multiply
    31,049.64x = 42,848.28 × 16,902.12
  4. Step 4: Simplify right side
    31,049.64x = 724,226,770.35
  5. Step 5: Solve for x
    x = 724,226,770.35/31,049.64
  6. Step 6: Final answer
    x = 23,324.80

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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.