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Finding the Fourth Proportional to 38,644.08, 53,372.88 and 27,342

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Solution

The fourth proportional to 38,644.08, 53,372.88 and 27,342 is: 37,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.08 : 53,372.88 = 27,342 : x
  2. Step 2: Convert to fraction form
    38,644.08/53,372.88 = 27,342/x
  3. Step 3: Cross multiply
    38,644.08x = 53,372.88 × 27,342
  4. Step 4: Simplify right side
    38,644.08x = 1,459,321,284.96
  5. Step 5: Solve for x
    x = 1,459,321,284.96/38,644.08
  6. Step 6: Final answer
    x = 37,763.13

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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.