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Finding the Fourth Proportional to 101,015.92, 151,470.48 and 44,831.60

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Solution

The fourth proportional to 101,015.92, 151,470.48 and 44,831.60 is: 67,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,015.92 : 151,470.48 = 44,831.60 : x
  2. Step 2: Convert to fraction form
    101,015.92/151,470.48 = 44,831.60/x
  3. Step 3: Cross multiply
    101,015.92x = 151,470.48 × 44,831.60
  4. Step 4: Simplify right side
    101,015.92x = 6,790,663,971.17
  5. Step 5: Solve for x
    x = 6,790,663,971.17/101,015.92
  6. Step 6: Final answer
    x = 67,223.70

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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.