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Finding the Fourth Proportional to 38,339.34, 52,886.76 and 23,022

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Solution

The fourth proportional to 38,339.34, 52,886.76 and 23,022 is: 31,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,339.34 : 52,886.76 = 23,022 : x
  2. Step 2: Convert to fraction form
    38,339.34/52,886.76 = 23,022/x
  3. Step 3: Cross multiply
    38,339.34x = 52,886.76 × 23,022
  4. Step 4: Simplify right side
    38,339.34x = 1,217,558,988.72
  5. Step 5: Solve for x
    x = 1,217,558,988.72/38,339.34
  6. Step 6: Final answer
    x = 31,757.43

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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.