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Finding the Fourth Proportional to 96,831.99, 144,978.57 and 49,344.71

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Solution

The fourth proportional to 96,831.99, 144,978.57 and 49,344.71 is: 73,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831.99 : 144,978.57 = 49,344.71 : x
  2. Step 2: Convert to fraction form
    96,831.99/144,978.57 = 49,344.71/x
  3. Step 3: Cross multiply
    96,831.99x = 144,978.57 × 49,344.71
  4. Step 4: Simplify right side
    96,831.99x = 7,153,924,767.97
  5. Step 5: Solve for x
    x = 7,153,924,767.97/96,831.99
  6. Step 6: Final answer
    x = 73,879.77

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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.