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Finding the Fourth Proportional to 117,794.94, 176,654.73 and 38,894.46

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Solution

The fourth proportional to 117,794.94, 176,654.73 and 38,894.46 is: 58,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,794.94 : 176,654.73 = 38,894.46 : x
  2. Step 2: Convert to fraction form
    117,794.94/176,654.73 = 38,894.46/x
  3. Step 3: Cross multiply
    117,794.94x = 176,654.73 × 38,894.46
  4. Step 4: Simplify right side
    117,794.94x = 6,870,890,329.80
  5. Step 5: Solve for x
    x = 6,870,890,329.80/117,794.94
  6. Step 6: Final answer
    x = 58,329.25

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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.