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Finding the Fourth Proportional to 114,777.92, 172,176.78 and 31,671.92

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Solution

The fourth proportional to 114,777.92, 172,176.78 and 31,671.92 is: 47,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,777.92 : 172,176.78 = 31,671.92 : x
  2. Step 2: Convert to fraction form
    114,777.92/172,176.78 = 31,671.92/x
  3. Step 3: Cross multiply
    114,777.92x = 172,176.78 × 31,671.92
  4. Step 4: Simplify right side
    114,777.92x = 5,453,169,202.02
  5. Step 5: Solve for x
    x = 5,453,169,202.02/114,777.92
  6. Step 6: Final answer
    x = 47,510.61

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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.