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Finding the Fourth Proportional to 92,382.48, 138,530.64 and 47,997.30

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Solution

The fourth proportional to 92,382.48, 138,530.64 and 47,997.30 is: 71,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,382.48 : 138,530.64 = 47,997.30 : x
  2. Step 2: Convert to fraction form
    92,382.48/138,530.64 = 47,997.30/x
  3. Step 3: Cross multiply
    92,382.48x = 138,530.64 × 47,997.30
  4. Step 4: Simplify right side
    92,382.48x = 6,649,096,687.27
  5. Step 5: Solve for x
    x = 6,649,096,687.27/92,382.48
  6. Step 6: Final answer
    x = 71,973.57

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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.