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Finding the Fourth Proportional to 31,015, 42,800.70 and 17,581.96

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Solution

The fourth proportional to 31,015, 42,800.70 and 17,581.96 is: 24,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015 : 42,800.70 = 17,581.96 : x
  2. Step 2: Convert to fraction form
    31,015/42,800.70 = 17,581.96/x
  3. Step 3: Cross multiply
    31,015x = 42,800.70 × 17,581.96
  4. Step 4: Simplify right side
    31,015x = 752,520,195.37
  5. Step 5: Solve for x
    x = 752,520,195.37/31,015
  6. Step 6: Final answer
    x = 24,263.10

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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.