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Finding the Fourth Proportional to 31,064.88, 42,870.06 and 16,917.96

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Solution

The fourth proportional to 31,064.88, 42,870.06 and 16,917.96 is: 23,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.88 : 42,870.06 = 16,917.96 : x
  2. Step 2: Convert to fraction form
    31,064.88/42,870.06 = 16,917.96/x
  3. Step 3: Cross multiply
    31,064.88x = 42,870.06 × 16,917.96
  4. Step 4: Simplify right side
    31,064.88x = 725,273,960.28
  5. Step 5: Solve for x
    x = 725,273,960.28/31,064.88
  6. Step 6: Final answer
    x = 23,347.07

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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.