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Finding the Fourth Proportional to 73,142.94, 109,754.10 and 31,046.70

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Solution

The fourth proportional to 73,142.94, 109,754.10 and 31,046.70 is: 46,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,142.94 : 109,754.10 = 31,046.70 : x
  2. Step 2: Convert to fraction form
    73,142.94/109,754.10 = 31,046.70/x
  3. Step 3: Cross multiply
    73,142.94x = 109,754.10 × 31,046.70
  4. Step 4: Simplify right side
    73,142.94x = 3,407,502,616.47
  5. Step 5: Solve for x
    x = 3,407,502,616.47/73,142.94
  6. Step 6: Final answer
    x = 46,586.90

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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.