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Finding the Fourth Proportional to 116,498.10, 174,747.24 and 35,445.78

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Solution

The fourth proportional to 116,498.10, 174,747.24 and 35,445.78 is: 53,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498.10 : 174,747.24 = 35,445.78 : x
  2. Step 2: Convert to fraction form
    116,498.10/174,747.24 = 35,445.78/x
  3. Step 3: Cross multiply
    116,498.10x = 174,747.24 × 35,445.78
  4. Step 4: Simplify right side
    116,498.10x = 6,194,052,224.65
  5. Step 5: Solve for x
    x = 6,194,052,224.65/116,498.10
  6. Step 6: Final answer
    x = 53,168.70

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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.