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Finding the Fourth Proportional to 64,342, 96,551.88 and 27,406

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Solution

The fourth proportional to 64,342, 96,551.88 and 27,406 is: 41,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,342 : 96,551.88 = 27,406 : x
  2. Step 2: Convert to fraction form
    64,342/96,551.88 = 27,406/x
  3. Step 3: Cross multiply
    64,342x = 96,551.88 × 27,406
  4. Step 4: Simplify right side
    64,342x = 2,646,100,823.28
  5. Step 5: Solve for x
    x = 2,646,100,823.28/64,342
  6. Step 6: Final answer
    x = 41,125.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.