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Finding the Fourth Proportional to 31,052.16, 42,850.89 and 16,904.70

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Solution

The fourth proportional to 31,052.16, 42,850.89 and 16,904.70 is: 23,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.16 : 42,850.89 = 16,904.70 : x
  2. Step 2: Convert to fraction form
    31,052.16/42,850.89 = 16,904.70/x
  3. Step 3: Cross multiply
    31,052.16x = 42,850.89 × 16,904.70
  4. Step 4: Simplify right side
    31,052.16x = 724,381,440.18
  5. Step 5: Solve for x
    x = 724,381,440.18/31,052.16
  6. Step 6: Final answer
    x = 23,327.89

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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.