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Finding the Fourth Proportional to 114,655.97, 171,989.94 and 34,691.91

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Solution

The fourth proportional to 114,655.97, 171,989.94 and 34,691.91 is: 52,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,655.97 : 171,989.94 = 34,691.91 : x
  2. Step 2: Convert to fraction form
    114,655.97/171,989.94 = 34,691.91/x
  3. Step 3: Cross multiply
    114,655.97x = 171,989.94 × 34,691.91
  4. Step 4: Simplify right side
    114,655.97x = 5,966,659,519.39
  5. Step 5: Solve for x
    x = 5,966,659,519.39/114,655.97
  6. Step 6: Final answer
    x = 52,039.68

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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.