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Finding the Fourth Proportional to 31,037.84, 42,832.14 and 16,890.68

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Solution

The fourth proportional to 31,037.84, 42,832.14 and 16,890.68 is: 23,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037.84 : 42,832.14 = 16,890.68 : x
  2. Step 2: Convert to fraction form
    31,037.84/42,832.14 = 16,890.68/x
  3. Step 3: Cross multiply
    31,037.84x = 42,832.14 × 16,890.68
  4. Step 4: Simplify right side
    31,037.84x = 723,463,970.46
  5. Step 5: Solve for x
    x = 723,463,970.46/31,037.84
  6. Step 6: Final answer
    x = 23,309.10

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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.