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Finding the Fourth Proportional to 114,023.40, 171,035.10 and 35,161.80

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Solution

The fourth proportional to 114,023.40, 171,035.10 and 35,161.80 is: 52,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,023.40 : 171,035.10 = 35,161.80 : x
  2. Step 2: Convert to fraction form
    114,023.40/171,035.10 = 35,161.80/x
  3. Step 3: Cross multiply
    114,023.40x = 171,035.10 × 35,161.80
  4. Step 4: Simplify right side
    114,023.40x = 6,013,901,979.18
  5. Step 5: Solve for x
    x = 6,013,901,979.18/114,023.40
  6. Step 6: Final answer
    x = 52,742.70

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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.