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Finding the Fourth Proportional to 65,291.09, 89,872.19 and 57,205.68

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Solution

The fourth proportional to 65,291.09, 89,872.19 and 57,205.68 is: 78,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.09 : 89,872.19 = 57,205.68 : x
  2. Step 2: Convert to fraction form
    65,291.09/89,872.19 = 57,205.68/x
  3. Step 3: Cross multiply
    65,291.09x = 89,872.19 × 57,205.68
  4. Step 4: Simplify right side
    65,291.09x = 5,141,200,222.07
  5. Step 5: Solve for x
    x = 5,141,200,222.07/65,291.09
  6. Step 6: Final answer
    x = 78,742.75

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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.