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Finding the Fourth Proportional to 65,206.98, 89,986.01 and 38,350.62

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Solution

The fourth proportional to 65,206.98, 89,986.01 and 38,350.62 is: 52,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.98 : 89,986.01 = 38,350.62 : x
  2. Step 2: Convert to fraction form
    65,206.98/89,986.01 = 38,350.62/x
  3. Step 3: Cross multiply
    65,206.98x = 89,986.01 × 38,350.62
  4. Step 4: Simplify right side
    65,206.98x = 3,451,019,083.07
  5. Step 5: Solve for x
    x = 3,451,019,083.07/65,206.98
  6. Step 6: Final answer
    x = 52,924.07

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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.