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Finding the Fourth Proportional to 117,813.49, 176,731.13 and 47,698.27

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Solution

The fourth proportional to 117,813.49, 176,731.13 and 47,698.27 is: 71,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,813.49 : 176,731.13 = 47,698.27 : x
  2. Step 2: Convert to fraction form
    117,813.49/176,731.13 = 47,698.27/x
  3. Step 3: Cross multiply
    117,813.49x = 176,731.13 × 47,698.27
  4. Step 4: Simplify right side
    117,813.49x = 8,429,768,833.56
  5. Step 5: Solve for x
    x = 8,429,768,833.56/117,813.49
  6. Step 6: Final answer
    x = 71,551.81

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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.