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Finding the Fourth Proportional to 38,151, 52,648.38 and 23,247

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Solution

The fourth proportional to 38,151, 52,648.38 and 23,247 is: 32,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,151 : 52,648.38 = 23,247 : x
  2. Step 2: Convert to fraction form
    38,151/52,648.38 = 23,247/x
  3. Step 3: Cross multiply
    38,151x = 52,648.38 × 23,247
  4. Step 4: Simplify right side
    38,151x = 1,223,916,889.86
  5. Step 5: Solve for x
    x = 1,223,916,889.86/38,151
  6. Step 6: Final answer
    x = 32,080.86

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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.