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Finding the Fourth Proportional to 65,873.67, 98,815.53 and 32,584.80

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Solution

The fourth proportional to 65,873.67, 98,815.53 and 32,584.80 is: 48,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.67 : 98,815.53 = 32,584.80 : x
  2. Step 2: Convert to fraction form
    65,873.67/98,815.53 = 32,584.80/x
  3. Step 3: Cross multiply
    65,873.67x = 98,815.53 × 32,584.80
  4. Step 4: Simplify right side
    65,873.67x = 3,219,884,281.94
  5. Step 5: Solve for x
    x = 3,219,884,281.94/65,873.67
  6. Step 6: Final answer
    x = 48,879.69

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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.