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Finding the Fourth Proportional to 31,667.68, 43,721.74 and 20,342.06

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Solution

The fourth proportional to 31,667.68, 43,721.74 and 20,342.06 is: 28,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.68 : 43,721.74 = 20,342.06 : x
  2. Step 2: Convert to fraction form
    31,667.68/43,721.74 = 20,342.06/x
  3. Step 3: Cross multiply
    31,667.68x = 43,721.74 × 20,342.06
  4. Step 4: Simplify right side
    31,667.68x = 889,390,258.38
  5. Step 5: Solve for x
    x = 889,390,258.38/31,667.68
  6. Step 6: Final answer
    x = 28,085.11

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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.