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Finding the Fourth Proportional to 31,060.16, 42,861.70 and 16,913

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Solution

The fourth proportional to 31,060.16, 42,861.70 and 16,913 is: 23,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.16 : 42,861.70 = 16,913 : x
  2. Step 2: Convert to fraction form
    31,060.16/42,861.70 = 16,913/x
  3. Step 3: Cross multiply
    31,060.16x = 42,861.70 × 16,913
  4. Step 4: Simplify right side
    31,060.16x = 724,919,932.10
  5. Step 5: Solve for x
    x = 724,919,932.10/31,060.16
  6. Step 6: Final answer
    x = 23,339.22

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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.