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Finding the Fourth Proportional to 31,046.64, 42,844.56 and 16,899.48

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Solution

The fourth proportional to 31,046.64, 42,844.56 and 16,899.48 is: 23,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.64 : 42,844.56 = 16,899.48 : x
  2. Step 2: Convert to fraction form
    31,046.64/42,844.56 = 16,899.48/x
  3. Step 3: Cross multiply
    31,046.64x = 42,844.56 × 16,899.48
  4. Step 4: Simplify right side
    31,046.64x = 724,050,784.83
  5. Step 5: Solve for x
    x = 724,050,784.83/31,046.64
  6. Step 6: Final answer
    x = 23,321.39

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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.