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Finding the Fourth Proportional to 92,049.94, 138,059.24 and 25,474.47

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Solution

The fourth proportional to 92,049.94, 138,059.24 and 25,474.47 is: 38,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,049.94 : 138,059.24 = 25,474.47 : x
  2. Step 2: Convert to fraction form
    92,049.94/138,059.24 = 25,474.47/x
  3. Step 3: Cross multiply
    92,049.94x = 138,059.24 × 25,474.47
  4. Step 4: Simplify right side
    92,049.94x = 3,516,985,967.60
  5. Step 5: Solve for x
    x = 3,516,985,967.60/92,049.94
  6. Step 6: Final answer
    x = 38,207.37

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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.