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Finding the Fourth Proportional to 31,104.03, 42,924 and 16,956.87

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Solution

The fourth proportional to 31,104.03, 42,924 and 16,956.87 is: 23,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.03 : 42,924 = 16,956.87 : x
  2. Step 2: Convert to fraction form
    31,104.03/42,924 = 16,956.87/x
  3. Step 3: Cross multiply
    31,104.03x = 42,924 × 16,956.87
  4. Step 4: Simplify right side
    31,104.03x = 727,856,687.88
  5. Step 5: Solve for x
    x = 727,856,687.88/31,104.03
  6. Step 6: Final answer
    x = 23,400.72

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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.