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Finding the Fourth Proportional to 31,429.84, 43,373.16 and 17,282.68

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Solution

The fourth proportional to 31,429.84, 43,373.16 and 17,282.68 is: 23,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.84 : 43,373.16 = 17,282.68 : x
  2. Step 2: Convert to fraction form
    31,429.84/43,373.16 = 17,282.68/x
  3. Step 3: Cross multiply
    31,429.84x = 43,373.16 × 17,282.68
  4. Step 4: Simplify right side
    31,429.84x = 749,604,444.87
  5. Step 5: Solve for x
    x = 749,604,444.87/31,429.84
  6. Step 6: Final answer
    x = 23,850.09

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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.