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Finding the Fourth Proportional to 38,585.64, 53,248.44 and 22,462.56

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Solution

The fourth proportional to 38,585.64, 53,248.44 and 22,462.56 is: 30,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.64 : 53,248.44 = 22,462.56 : x
  2. Step 2: Convert to fraction form
    38,585.64/53,248.44 = 22,462.56/x
  3. Step 3: Cross multiply
    38,585.64x = 53,248.44 × 22,462.56
  4. Step 4: Simplify right side
    38,585.64x = 1,196,096,278.41
  5. Step 5: Solve for x
    x = 1,196,096,278.41/38,585.64
  6. Step 6: Final answer
    x = 30,998.48

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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.