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Finding the Fourth Proportional to 31,032.16, 42,817.09 and 17,600.32

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Solution

The fourth proportional to 31,032.16, 42,817.09 and 17,600.32 is: 24,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032.16 : 42,817.09 = 17,600.32 : x
  2. Step 2: Convert to fraction form
    31,032.16/42,817.09 = 17,600.32/x
  3. Step 3: Cross multiply
    31,032.16x = 42,817.09 × 17,600.32
  4. Step 4: Simplify right side
    31,032.16x = 753,594,183.38
  5. Step 5: Solve for x
    x = 753,594,183.38/31,032.16
  6. Step 6: Final answer
    x = 24,284.30

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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.