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Finding the Fourth Proportional to 31,071, 42,878.07 and 16,923.86

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Solution

The fourth proportional to 31,071, 42,878.07 and 16,923.86 is: 23,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071 : 42,878.07 = 16,923.86 : x
  2. Step 2: Convert to fraction form
    31,071/42,878.07 = 16,923.86/x
  3. Step 3: Cross multiply
    31,071x = 42,878.07 × 16,923.86
  4. Step 4: Simplify right side
    31,071x = 725,662,239.36
  5. Step 5: Solve for x
    x = 725,662,239.36/31,071
  6. Step 6: Final answer
    x = 23,354.97

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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.