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Finding the Fourth Proportional to 114,329.77, 171,493.09 and 35,443.99

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Solution

The fourth proportional to 114,329.77, 171,493.09 and 35,443.99 is: 53,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,329.77 : 171,493.09 = 35,443.99 : x
  2. Step 2: Convert to fraction form
    114,329.77/171,493.09 = 35,443.99/x
  3. Step 3: Cross multiply
    114,329.77x = 171,493.09 × 35,443.99
  4. Step 4: Simplify right side
    114,329.77x = 6,078,399,367.03
  5. Step 5: Solve for x
    x = 6,078,399,367.03/114,329.77
  6. Step 6: Final answer
    x = 53,165.50

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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.