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Finding the Fourth Proportional to 38,155, 52,653.92 and 23,251

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Solution

The fourth proportional to 38,155, 52,653.92 and 23,251 is: 32,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155 : 52,653.92 = 23,251 : x
  2. Step 2: Convert to fraction form
    38,155/52,653.92 = 23,251/x
  3. Step 3: Cross multiply
    38,155x = 52,653.92 × 23,251
  4. Step 4: Simplify right side
    38,155x = 1,224,256,293.92
  5. Step 5: Solve for x
    x = 1,224,256,293.92/38,155
  6. Step 6: Final answer
    x = 32,086.39

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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.