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Finding the Fourth Proportional to 31,099.84, 42,917.85 and 17,675.55

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Solution

The fourth proportional to 31,099.84, 42,917.85 and 17,675.55 is: 24,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.84 : 42,917.85 = 17,675.55 : x
  2. Step 2: Convert to fraction form
    31,099.84/42,917.85 = 17,675.55/x
  3. Step 3: Cross multiply
    31,099.84x = 42,917.85 × 17,675.55
  4. Step 4: Simplify right side
    31,099.84x = 758,596,603.57
  5. Step 5: Solve for x
    x = 758,596,603.57/31,099.84
  6. Step 6: Final answer
    x = 24,392.30

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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.