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Finding the Fourth Proportional to 65,223.70, 97,835.55 and 30,231.70

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Solution

The fourth proportional to 65,223.70, 97,835.55 and 30,231.70 is: 45,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.70 : 97,835.55 = 30,231.70 : x
  2. Step 2: Convert to fraction form
    65,223.70/97,835.55 = 30,231.70/x
  3. Step 3: Cross multiply
    65,223.70x = 97,835.55 × 30,231.70
  4. Step 4: Simplify right side
    65,223.70x = 2,957,734,996.94
  5. Step 5: Solve for x
    x = 2,957,734,996.94/65,223.70
  6. Step 6: Final answer
    x = 45,347.55

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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.