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Finding the Fourth Proportional to 114,035.42, 171,053.14 and 50,839.22

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Solution

The fourth proportional to 114,035.42, 171,053.14 and 50,839.22 is: 76,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,035.42 : 171,053.14 = 50,839.22 : x
  2. Step 2: Convert to fraction form
    114,035.42/171,053.14 = 50,839.22/x
  3. Step 3: Cross multiply
    114,035.42x = 171,053.14 × 50,839.22
  4. Step 4: Simplify right side
    114,035.42x = 8,696,208,216.15
  5. Step 5: Solve for x
    x = 8,696,208,216.15/114,035.42
  6. Step 6: Final answer
    x = 76,258.83

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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.