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Finding the Fourth Proportional to 114,047.11, 171,099.83 and 47,465.11

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Solution

The fourth proportional to 114,047.11, 171,099.83 and 47,465.11 is: 71,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,047.11 : 171,099.83 = 47,465.11 : x
  2. Step 2: Convert to fraction form
    114,047.11/171,099.83 = 47,465.11/x
  3. Step 3: Cross multiply
    114,047.11x = 171,099.83 × 47,465.11
  4. Step 4: Simplify right side
    114,047.11x = 8,121,272,251.93
  5. Step 5: Solve for x
    x = 8,121,272,251.93/114,047.11
  6. Step 6: Final answer
    x = 71,209.80

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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.