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Finding the Fourth Proportional to 118,523.92, 177,786.06 and 48,403.24

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Solution

The fourth proportional to 118,523.92, 177,786.06 and 48,403.24 is: 72,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,523.92 : 177,786.06 = 48,403.24 : x
  2. Step 2: Convert to fraction form
    118,523.92/177,786.06 = 48,403.24/x
  3. Step 3: Cross multiply
    118,523.92x = 177,786.06 × 48,403.24
  4. Step 4: Simplify right side
    118,523.92x = 8,605,421,330.83
  5. Step 5: Solve for x
    x = 8,605,421,330.83/118,523.92
  6. Step 6: Final answer
    x = 72,604.93

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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.