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Finding the Fourth Proportional to 97,713.70, 146,525.43 and 41,523.85

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Solution

The fourth proportional to 97,713.70, 146,525.43 and 41,523.85 is: 62,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713.70 : 146,525.43 = 41,523.85 : x
  2. Step 2: Convert to fraction form
    97,713.70/146,525.43 = 41,523.85/x
  3. Step 3: Cross multiply
    97,713.70x = 146,525.43 × 41,523.85
  4. Step 4: Simplify right side
    97,713.70x = 6,084,299,976.51
  5. Step 5: Solve for x
    x = 6,084,299,976.51/97,713.70
  6. Step 6: Final answer
    x = 62,266.60

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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.