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Finding the Fourth Proportional to 33,695.38, 46,506.72 and 23,098.96

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Solution

The fourth proportional to 33,695.38, 46,506.72 and 23,098.96 is: 31,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695.38 : 46,506.72 = 23,098.96 : x
  2. Step 2: Convert to fraction form
    33,695.38/46,506.72 = 23,098.96/x
  3. Step 3: Cross multiply
    33,695.38x = 46,506.72 × 23,098.96
  4. Step 4: Simplify right side
    33,695.38x = 1,074,256,865.01
  5. Step 5: Solve for x
    x = 1,074,256,865.01/33,695.38
  6. Step 6: Final answer
    x = 31,881.43

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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.