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Finding the Fourth Proportional to 31,120.38, 42,947.01 and 16,974

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Solution

The fourth proportional to 31,120.38, 42,947.01 and 16,974 is: 23,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.38 : 42,947.01 = 16,974 : x
  2. Step 2: Convert to fraction form
    31,120.38/42,947.01 = 16,974/x
  3. Step 3: Cross multiply
    31,120.38x = 42,947.01 × 16,974
  4. Step 4: Simplify right side
    31,120.38x = 728,982,547.74
  5. Step 5: Solve for x
    x = 728,982,547.74/31,120.38
  6. Step 6: Final answer
    x = 23,424.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.