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Finding the Fourth Proportional to 31,937.82, 44,065.80 and 21,309

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Solution

The fourth proportional to 31,937.82, 44,065.80 and 21,309 is: 29,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.82 : 44,065.80 = 21,309 : x
  2. Step 2: Convert to fraction form
    31,937.82/44,065.80 = 21,309/x
  3. Step 3: Cross multiply
    31,937.82x = 44,065.80 × 21,309
  4. Step 4: Simplify right side
    31,937.82x = 938,998,132.20
  5. Step 5: Solve for x
    x = 938,998,132.20/31,937.82
  6. Step 6: Final answer
    x = 29,400.82

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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.