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Finding the Fourth Proportional to 31,048.20, 42,847.20 and 16,901.76

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Solution

The fourth proportional to 31,048.20, 42,847.20 and 16,901.76 is: 23,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,048.20 : 42,847.20 = 16,901.76 : x
  2. Step 2: Convert to fraction form
    31,048.20/42,847.20 = 16,901.76/x
  3. Step 3: Cross multiply
    31,048.20x = 42,847.20 × 16,901.76
  4. Step 4: Simplify right side
    31,048.20x = 724,193,091.07
  5. Step 5: Solve for x
    x = 724,193,091.07/31,048.20
  6. Step 6: Final answer
    x = 23,324.80

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Why These Related Problems?

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