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Finding the Fourth Proportional to 116,490.70, 174,736.21 and 35,438.43

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Solution

The fourth proportional to 116,490.70, 174,736.21 and 35,438.43 is: 53,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,490.70 : 174,736.21 = 35,438.43 : x
  2. Step 2: Convert to fraction form
    116,490.70/174,736.21 = 35,438.43/x
  3. Step 3: Cross multiply
    116,490.70x = 174,736.21 × 35,438.43
  4. Step 4: Simplify right side
    116,490.70x = 6,192,376,946.55
  5. Step 5: Solve for x
    x = 6,192,376,946.55/116,490.70
  6. Step 6: Final answer
    x = 53,157.69

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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.