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Finding the Fourth Proportional to 65,281.80, 97,831.26 and 27,791.22

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Solution

The fourth proportional to 65,281.80, 97,831.26 and 27,791.22 is: 41,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.80 : 97,831.26 = 27,791.22 : x
  2. Step 2: Convert to fraction form
    65,281.80/97,831.26 = 27,791.22/x
  3. Step 3: Cross multiply
    65,281.80x = 97,831.26 × 27,791.22
  4. Step 4: Simplify right side
    65,281.80x = 2,718,850,069.54
  5. Step 5: Solve for x
    x = 2,718,850,069.54/65,281.80
  6. Step 6: Final answer
    x = 41,647.90

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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.