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Finding the Fourth Proportional to 114,047.60, 171,047.10 and 50,867.60

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Solution

The fourth proportional to 114,047.60, 171,047.10 and 50,867.60 is: 76,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,047.60 : 171,047.10 = 50,867.60 : x
  2. Step 2: Convert to fraction form
    114,047.60/171,047.10 = 50,867.60/x
  3. Step 3: Cross multiply
    114,047.60x = 171,047.10 × 50,867.60
  4. Step 4: Simplify right side
    114,047.60x = 8,700,755,463.96
  5. Step 5: Solve for x
    x = 8,700,755,463.96/114,047.60
  6. Step 6: Final answer
    x = 76,290.56

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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.