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Finding the Fourth Proportional to 38,447.31, 53,062.53 and 22,538.10

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Solution

The fourth proportional to 38,447.31, 53,062.53 and 22,538.10 is: 31,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447.31 : 53,062.53 = 22,538.10 : x
  2. Step 2: Convert to fraction form
    38,447.31/53,062.53 = 22,538.10/x
  3. Step 3: Cross multiply
    38,447.31x = 53,062.53 × 22,538.10
  4. Step 4: Simplify right side
    38,447.31x = 1,195,928,607.39
  5. Step 5: Solve for x
    x = 1,195,928,607.39/38,447.31
  6. Step 6: Final answer
    x = 31,105.65

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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.