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Finding the Fourth Proportional to 31,166.30, 46,959.83 and 25,741.18

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Solution

The fourth proportional to 31,166.30, 46,959.83 and 25,741.18 is: 38,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.30 : 46,959.83 = 25,741.18 : x
  2. Step 2: Convert to fraction form
    31,166.30/46,959.83 = 25,741.18/x
  3. Step 3: Cross multiply
    31,166.30x = 46,959.83 × 25,741.18
  4. Step 4: Simplify right side
    31,166.30x = 1,208,801,343.97
  5. Step 5: Solve for x
    x = 1,208,801,343.97/31,166.30
  6. Step 6: Final answer
    x = 38,785.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.