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Finding the Fourth Proportional to 99,831.96, 137,791.08 and 65,846.52

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Solution

The fourth proportional to 99,831.96, 137,791.08 and 65,846.52 is: 90,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.96 : 137,791.08 = 65,846.52 : x
  2. Step 2: Convert to fraction form
    99,831.96/137,791.08 = 65,846.52/x
  3. Step 3: Cross multiply
    99,831.96x = 137,791.08 × 65,846.52
  4. Step 4: Simplify right side
    99,831.96x = 9,073,063,105.04
  5. Step 5: Solve for x
    x = 9,073,063,105.04/99,831.96
  6. Step 6: Final answer
    x = 90,883.35

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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.