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Finding the Fourth Proportional to 117,431.92, 162,053.95 and 71,474.94

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Solution

The fourth proportional to 117,431.92, 162,053.95 and 71,474.94 is: 98,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,431.92 : 162,053.95 = 71,474.94 : x
  2. Step 2: Convert to fraction form
    117,431.92/162,053.95 = 71,474.94/x
  3. Step 3: Cross multiply
    117,431.92x = 162,053.95 × 71,474.94
  4. Step 4: Simplify right side
    117,431.92x = 11,582,796,353.01
  5. Step 5: Solve for x
    x = 11,582,796,353.01/117,431.92
  6. Step 6: Final answer
    x = 98,634.14

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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.