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Finding the Fourth Proportional to 65,189.12, 89,960.76 and 35,381.12

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Solution

The fourth proportional to 65,189.12, 89,960.76 and 35,381.12 is: 48,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.12 : 89,960.76 = 35,381.12 : x
  2. Step 2: Convert to fraction form
    65,189.12/89,960.76 = 35,381.12/x
  3. Step 3: Cross multiply
    65,189.12x = 89,960.76 × 35,381.12
  4. Step 4: Simplify right side
    65,189.12x = 3,182,912,444.85
  5. Step 5: Solve for x
    x = 3,182,912,444.85/65,189.12
  6. Step 6: Final answer
    x = 48,825.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.