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Finding the Fourth Proportional to 65,733.60, 98,600.40 and 54,798.60

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Solution

The fourth proportional to 65,733.60, 98,600.40 and 54,798.60 is: 82,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.60 : 98,600.40 = 54,798.60 : x
  2. Step 2: Convert to fraction form
    65,733.60/98,600.40 = 54,798.60/x
  3. Step 3: Cross multiply
    65,733.60x = 98,600.40 × 54,798.60
  4. Step 4: Simplify right side
    65,733.60x = 5,403,163,879.44
  5. Step 5: Solve for x
    x = 5,403,163,879.44/65,733.60
  6. Step 6: Final answer
    x = 82,197.90

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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.