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Finding the Fourth Proportional to 65,817.60, 98,661.60 and 32,542.80

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Solution

The fourth proportional to 65,817.60, 98,661.60 and 32,542.80 is: 48,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,817.60 : 98,661.60 = 32,542.80 : x
  2. Step 2: Convert to fraction form
    65,817.60/98,661.60 = 32,542.80/x
  3. Step 3: Cross multiply
    65,817.60x = 98,661.60 × 32,542.80
  4. Step 4: Simplify right side
    65,817.60x = 3,210,724,716.48
  5. Step 5: Solve for x
    x = 3,210,724,716.48/65,817.60
  6. Step 6: Final answer
    x = 48,782.16

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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.