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Finding the Fourth Proportional to 77,831.33, 116,672.27 and 49,671.88

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Solution

The fourth proportional to 77,831.33, 116,672.27 and 49,671.88 is: 74,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,831.33 : 116,672.27 = 49,671.88 : x
  2. Step 2: Convert to fraction form
    77,831.33/116,672.27 = 49,671.88/x
  3. Step 3: Cross multiply
    77,831.33x = 116,672.27 × 49,671.88
  4. Step 4: Simplify right side
    77,831.33x = 5,795,330,454.73
  5. Step 5: Solve for x
    x = 5,795,330,454.73/77,831.33
  6. Step 6: Final answer
    x = 74,460.13

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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.