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Finding the Fourth Proportional to 114,442.92, 171,660.74 and 35,535.96

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Solution

The fourth proportional to 114,442.92, 171,660.74 and 35,535.96 is: 53,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,442.92 : 171,660.74 = 35,535.96 : x
  2. Step 2: Convert to fraction form
    114,442.92/171,660.74 = 35,535.96/x
  3. Step 3: Cross multiply
    114,442.92x = 171,660.74 × 35,535.96
  4. Step 4: Simplify right side
    114,442.92x = 6,100,129,012.53
  5. Step 5: Solve for x
    x = 6,100,129,012.53/114,442.92
  6. Step 6: Final answer
    x = 53,302.81

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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.