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Finding the Fourth Proportional to 65,116.48, 89,860.20 and 36,823.20

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Solution

The fourth proportional to 65,116.48, 89,860.20 and 36,823.20 is: 50,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.48 : 89,860.20 = 36,823.20 : x
  2. Step 2: Convert to fraction form
    65,116.48/89,860.20 = 36,823.20/x
  3. Step 3: Cross multiply
    65,116.48x = 89,860.20 × 36,823.20
  4. Step 4: Simplify right side
    65,116.48x = 3,308,940,116.64
  5. Step 5: Solve for x
    x = 3,308,940,116.64/65,116.48
  6. Step 6: Final answer
    x = 50,815.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.