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Finding the Fourth Proportional to 64,340.34, 96,543.42 and 30,644.52

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Solution

The fourth proportional to 64,340.34, 96,543.42 and 30,644.52 is: 45,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,340.34 : 96,543.42 = 30,644.52 : x
  2. Step 2: Convert to fraction form
    64,340.34/96,543.42 = 30,644.52/x
  3. Step 3: Cross multiply
    64,340.34x = 96,543.42 × 30,644.52
  4. Step 4: Simplify right side
    64,340.34x = 2,958,526,765.06
  5. Step 5: Solve for x
    x = 2,958,526,765.06/64,340.34
  6. Step 6: Final answer
    x = 45,982.45

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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.