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Finding the Fourth Proportional to 89,831.84, 134,770.80 and 37,223.84

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Solution

The fourth proportional to 89,831.84, 134,770.80 and 37,223.84 is: 55,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,831.84 : 134,770.80 = 37,223.84 : x
  2. Step 2: Convert to fraction form
    89,831.84/134,770.80 = 37,223.84/x
  3. Step 3: Cross multiply
    89,831.84x = 134,770.80 × 37,223.84
  4. Step 4: Simplify right side
    89,831.84x = 5,016,686,695.87
  5. Step 5: Solve for x
    x = 5,016,686,695.87/89,831.84
  6. Step 6: Final answer
    x = 55,845.31

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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.