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Finding the Fourth Proportional to 65,820.33, 98,773.70 and 48,236.49

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Solution

The fourth proportional to 65,820.33, 98,773.70 and 48,236.49 is: 72,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.33 : 98,773.70 = 48,236.49 : x
  2. Step 2: Convert to fraction form
    65,820.33/98,773.70 = 48,236.49/x
  3. Step 3: Cross multiply
    65,820.33x = 98,773.70 × 48,236.49
  4. Step 4: Simplify right side
    65,820.33x = 4,764,496,351.13
  5. Step 5: Solve for x
    x = 4,764,496,351.13/65,820.33
  6. Step 6: Final answer
    x = 72,386.39

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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.