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Finding the Fourth Proportional to 123,649.92, 185,476.32 and 34,905.60

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Solution

The fourth proportional to 123,649.92, 185,476.32 and 34,905.60 is: 52,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,649.92 : 185,476.32 = 34,905.60 : x
  2. Step 2: Convert to fraction form
    123,649.92/185,476.32 = 34,905.60/x
  3. Step 3: Cross multiply
    123,649.92x = 185,476.32 × 34,905.60
  4. Step 4: Simplify right side
    123,649.92x = 6,474,162,235.39
  5. Step 5: Solve for x
    x = 6,474,162,235.39/123,649.92
  6. Step 6: Final answer
    x = 52,358.81

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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.