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Finding the Fourth Proportional to 117,762.84, 176,640.21 and 33,523.53

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Solution

The fourth proportional to 117,762.84, 176,640.21 and 33,523.53 is: 50,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,762.84 : 176,640.21 = 33,523.53 : x
  2. Step 2: Convert to fraction form
    117,762.84/176,640.21 = 33,523.53/x
  3. Step 3: Cross multiply
    117,762.84x = 176,640.21 × 33,523.53
  4. Step 4: Simplify right side
    117,762.84x = 5,921,603,379.14
  5. Step 5: Solve for x
    x = 5,921,603,379.14/117,762.84
  6. Step 6: Final answer
    x = 50,284.14

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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.