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Finding the Fourth Proportional to 31,121.86, 42,914.14 and 21,032.82

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Solution

The fourth proportional to 31,121.86, 42,914.14 and 21,032.82 is: 29,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.86 : 42,914.14 = 21,032.82 : x
  2. Step 2: Convert to fraction form
    31,121.86/42,914.14 = 21,032.82/x
  3. Step 3: Cross multiply
    31,121.86x = 42,914.14 × 21,032.82
  4. Step 4: Simplify right side
    31,121.86x = 902,605,382.07
  5. Step 5: Solve for x
    x = 902,605,382.07/31,121.86
  6. Step 6: Final answer
    x = 29,002.30

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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.