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Finding the Fourth Proportional to 114,311.76, 171,404.99 and 35,404.08

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Solution

The fourth proportional to 114,311.76, 171,404.99 and 35,404.08 is: 53,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311.76 : 171,404.99 = 35,404.08 : x
  2. Step 2: Convert to fraction form
    114,311.76/171,404.99 = 35,404.08/x
  3. Step 3: Cross multiply
    114,311.76x = 171,404.99 × 35,404.08
  4. Step 4: Simplify right side
    114,311.76x = 6,068,435,978.36
  5. Step 5: Solve for x
    x = 6,068,435,978.36/114,311.76
  6. Step 6: Final answer
    x = 53,086.72

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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.