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Finding the Fourth Proportional to 38,931, 53,725.38 and 23,016.93

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Solution

The fourth proportional to 38,931, 53,725.38 and 23,016.93 is: 31,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,931 : 53,725.38 = 23,016.93 : x
  2. Step 2: Convert to fraction form
    38,931/53,725.38 = 23,016.93/x
  3. Step 3: Cross multiply
    38,931x = 53,725.38 × 23,016.93
  4. Step 4: Simplify right side
    38,931x = 1,236,593,310.68
  5. Step 5: Solve for x
    x = 1,236,593,310.68/38,931
  6. Step 6: Final answer
    x = 31,763.72

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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.