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Finding the Fourth Proportional to 114,221.92, 171,312.24 and 31,096.48

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Solution

The fourth proportional to 114,221.92, 171,312.24 and 31,096.48 is: 46,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,221.92 : 171,312.24 = 31,096.48 : x
  2. Step 2: Convert to fraction form
    114,221.92/171,312.24 = 31,096.48/x
  3. Step 3: Cross multiply
    114,221.92x = 171,312.24 × 31,096.48
  4. Step 4: Simplify right side
    114,221.92x = 5,327,207,644.92
  5. Step 5: Solve for x
    x = 5,327,207,644.92/114,221.92
  6. Step 6: Final answer
    x = 46,639.10

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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.