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Finding the Fourth Proportional to 65,833.82, 98,750.74 and 36,236.42

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Solution

The fourth proportional to 65,833.82, 98,750.74 and 36,236.42 is: 54,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833.82 : 98,750.74 = 36,236.42 : x
  2. Step 2: Convert to fraction form
    65,833.82/98,750.74 = 36,236.42/x
  3. Step 3: Cross multiply
    65,833.82x = 98,750.74 × 36,236.42
  4. Step 4: Simplify right side
    65,833.82x = 3,578,373,289.95
  5. Step 5: Solve for x
    x = 3,578,373,289.95/65,833.82
  6. Step 6: Final answer
    x = 54,354.64

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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.