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Finding the Fourth Proportional to 97,761.75, 146,698.10 and 52,782.51

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Solution

The fourth proportional to 97,761.75, 146,698.10 and 52,782.51 is: 79,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,761.75 : 146,698.10 = 52,782.51 : x
  2. Step 2: Convert to fraction form
    97,761.75/146,698.10 = 52,782.51/x
  3. Step 3: Cross multiply
    97,761.75x = 146,698.10 × 52,782.51
  4. Step 4: Simplify right side
    97,761.75x = 7,743,092,932.83
  5. Step 5: Solve for x
    x = 7,743,092,932.83/97,761.75
  6. Step 6: Final answer
    x = 79,203.71

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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.