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Finding the Fourth Proportional to 114,053.82, 171,103.50 and 35,165.04

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Solution

The fourth proportional to 114,053.82, 171,103.50 and 35,165.04 is: 52,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,053.82 : 171,103.50 = 35,165.04 : x
  2. Step 2: Convert to fraction form
    114,053.82/171,103.50 = 35,165.04/x
  3. Step 3: Cross multiply
    114,053.82x = 171,103.50 × 35,165.04
  4. Step 4: Simplify right side
    114,053.82x = 6,016,861,421.64
  5. Step 5: Solve for x
    x = 6,016,861,421.64/114,053.82
  6. Step 6: Final answer
    x = 52,754.58

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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.