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Finding the Fourth Proportional to 65,382.40, 97,843.20 and 59,852.80

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Solution

The fourth proportional to 65,382.40, 97,843.20 and 59,852.80 is: 89,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.40 : 97,843.20 = 59,852.80 : x
  2. Step 2: Convert to fraction form
    65,382.40/97,843.20 = 59,852.80/x
  3. Step 3: Cross multiply
    65,382.40x = 97,843.20 × 59,852.80
  4. Step 4: Simplify right side
    65,382.40x = 5,856,189,480.96
  5. Step 5: Solve for x
    x = 5,856,189,480.96/65,382.40
  6. Step 6: Final answer
    x = 89,568.29

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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.