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Finding the Fourth Proportional to 31,094.16, 42,910.18 and 16,946.96

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Solution

The fourth proportional to 31,094.16, 42,910.18 and 16,946.96 is: 23,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.16 : 42,910.18 = 16,946.96 : x
  2. Step 2: Convert to fraction form
    31,094.16/42,910.18 = 16,946.96/x
  3. Step 3: Cross multiply
    31,094.16x = 42,910.18 × 16,946.96
  4. Step 4: Simplify right side
    31,094.16x = 727,197,104.05
  5. Step 5: Solve for x
    x = 727,197,104.05/31,094.16
  6. Step 6: Final answer
    x = 23,386.94

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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.