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Finding the Fourth Proportional to 31,064.19, 42,868.64 and 16,917.09

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Solution

The fourth proportional to 31,064.19, 42,868.64 and 16,917.09 is: 23,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.19 : 42,868.64 = 16,917.09 : x
  2. Step 2: Convert to fraction form
    31,064.19/42,868.64 = 16,917.09/x
  3. Step 3: Cross multiply
    31,064.19x = 42,868.64 × 16,917.09
  4. Step 4: Simplify right side
    31,064.19x = 725,212,641.06
  5. Step 5: Solve for x
    x = 725,212,641.06/31,064.19
  6. Step 6: Final answer
    x = 23,345.62

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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.