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Finding the Fourth Proportional to 117,522.95, 176,291.94 and 33,289.80

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Solution

The fourth proportional to 117,522.95, 176,291.94 and 33,289.80 is: 49,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,522.95 : 176,291.94 = 33,289.80 : x
  2. Step 2: Convert to fraction form
    117,522.95/176,291.94 = 33,289.80/x
  3. Step 3: Cross multiply
    117,522.95x = 176,291.94 × 33,289.80
  4. Step 4: Simplify right side
    117,522.95x = 5,868,723,424.21
  5. Step 5: Solve for x
    x = 5,868,723,424.21/117,522.95
  6. Step 6: Final answer
    x = 49,936.83

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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.