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Finding the Fourth Proportional to 65,017.69, 89,724.51 and 35,209.69

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Solution

The fourth proportional to 65,017.69, 89,724.51 and 35,209.69 is: 48,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.69 : 89,724.51 = 35,209.69 : x
  2. Step 2: Convert to fraction form
    65,017.69/89,724.51 = 35,209.69/x
  3. Step 3: Cross multiply
    65,017.69x = 89,724.51 × 35,209.69
  4. Step 4: Simplify right side
    65,017.69x = 3,159,171,958.19
  5. Step 5: Solve for x
    x = 3,159,171,958.19/65,017.69
  6. Step 6: Final answer
    x = 48,589.42

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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.