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Finding the Fourth Proportional to 114,488.66, 171,731.10 and 31,382.66

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Solution

The fourth proportional to 114,488.66, 171,731.10 and 31,382.66 is: 47,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,488.66 : 171,731.10 = 31,382.66 : x
  2. Step 2: Convert to fraction form
    114,488.66/171,731.10 = 31,382.66/x
  3. Step 3: Cross multiply
    114,488.66x = 171,731.10 × 31,382.66
  4. Step 4: Simplify right side
    114,488.66x = 5,389,378,722.73
  5. Step 5: Solve for x
    x = 5,389,378,722.73/114,488.66
  6. Step 6: Final answer
    x = 47,073.47

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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.