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Finding the Fourth Proportional to 114,472.13, 171,706.37 and 31,366.13

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Solution

The fourth proportional to 114,472.13, 171,706.37 and 31,366.13 is: 47,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.13 : 171,706.37 = 31,366.13 : x
  2. Step 2: Convert to fraction form
    114,472.13/171,706.37 = 31,366.13/x
  3. Step 3: Cross multiply
    114,472.13x = 171,706.37 × 31,366.13
  4. Step 4: Simplify right side
    114,472.13x = 5,385,764,323.25
  5. Step 5: Solve for x
    x = 5,385,764,323.25/114,472.13
  6. Step 6: Final answer
    x = 47,048.69

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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.