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Finding the Fourth Proportional to 65,342, 90,171.96 and 35,534

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Solution

The fourth proportional to 65,342, 90,171.96 and 35,534 is: 49,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342 : 90,171.96 = 35,534 : x
  2. Step 2: Convert to fraction form
    65,342/90,171.96 = 35,534/x
  3. Step 3: Cross multiply
    65,342x = 90,171.96 × 35,534
  4. Step 4: Simplify right side
    65,342x = 3,204,170,426.64
  5. Step 5: Solve for x
    x = 3,204,170,426.64/65,342
  6. Step 6: Final answer
    x = 49,036.92

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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.