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Finding the Fourth Proportional to 97,399.74, 146,080.17 and 30,828.54

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Solution

The fourth proportional to 97,399.74, 146,080.17 and 30,828.54 is: 46,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,399.74 : 146,080.17 = 30,828.54 : x
  2. Step 2: Convert to fraction form
    97,399.74/146,080.17 = 30,828.54/x
  3. Step 3: Cross multiply
    97,399.74x = 146,080.17 × 30,828.54
  4. Step 4: Simplify right side
    97,399.74x = 4,503,438,364.05
  5. Step 5: Solve for x
    x = 4,503,438,364.05/97,399.74
  6. Step 6: Final answer
    x = 46,236.66

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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.