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Finding the Fourth Proportional to 31,983.31, 44,137.01 and 17,642.81

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Solution

The fourth proportional to 31,983.31, 44,137.01 and 17,642.81 is: 24,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,983.31 : 44,137.01 = 17,642.81 : x
  2. Step 2: Convert to fraction form
    31,983.31/44,137.01 = 17,642.81/x
  3. Step 3: Cross multiply
    31,983.31x = 44,137.01 × 17,642.81
  4. Step 4: Simplify right side
    31,983.31x = 778,700,903.53
  5. Step 5: Solve for x
    x = 778,700,903.53/31,983.31
  6. Step 6: Final answer
    x = 24,347.10

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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.