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Finding the Fourth Proportional to 114,071.94, 171,093.30 and 47,499.66

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Solution

The fourth proportional to 114,071.94, 171,093.30 and 47,499.66 is: 71,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,071.94 : 171,093.30 = 47,499.66 : x
  2. Step 2: Convert to fraction form
    114,071.94/171,093.30 = 47,499.66/x
  3. Step 3: Cross multiply
    114,071.94x = 171,093.30 × 47,499.66
  4. Step 4: Simplify right side
    114,071.94x = 8,126,873,578.28
  5. Step 5: Solve for x
    x = 8,126,873,578.28/114,071.94
  6. Step 6: Final answer
    x = 71,243.41

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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.