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Finding the Fourth Proportional to 114,407.82, 171,611.19 and 29,018.70

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Solution

The fourth proportional to 114,407.82, 171,611.19 and 29,018.70 is: 43,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,407.82 : 171,611.19 = 29,018.70 : x
  2. Step 2: Convert to fraction form
    114,407.82/171,611.19 = 29,018.70/x
  3. Step 3: Cross multiply
    114,407.82x = 171,611.19 × 29,018.70
  4. Step 4: Simplify right side
    114,407.82x = 4,979,933,639.25
  5. Step 5: Solve for x
    x = 4,979,933,639.25/114,407.82
  6. Step 6: Final answer
    x = 43,527.91

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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.