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Finding the Fourth Proportional to 97,409.73, 145,997.03 and 47,414.91

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Solution

The fourth proportional to 97,409.73, 145,997.03 and 47,414.91 is: 71,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.73 : 145,997.03 = 47,414.91 : x
  2. Step 2: Convert to fraction form
    97,409.73/145,997.03 = 47,414.91/x
  3. Step 3: Cross multiply
    97,409.73x = 145,997.03 × 47,414.91
  4. Step 4: Simplify right side
    97,409.73x = 6,922,435,800.64
  5. Step 5: Solve for x
    x = 6,922,435,800.64/97,409.73
  6. Step 6: Final answer
    x = 71,065.14

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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.