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Finding the Fourth Proportional to 38,672.64, 53,372.52 and 22,761

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Solution

The fourth proportional to 38,672.64, 53,372.52 and 22,761 is: 31,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672.64 : 53,372.52 = 22,761 : x
  2. Step 2: Convert to fraction form
    38,672.64/53,372.52 = 22,761/x
  3. Step 3: Cross multiply
    38,672.64x = 53,372.52 × 22,761
  4. Step 4: Simplify right side
    38,672.64x = 1,214,811,927.72
  5. Step 5: Solve for x
    x = 1,214,811,927.72/38,672.64
  6. Step 6: Final answer
    x = 31,412.70

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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.