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Finding the Fourth Proportional to 117,880.84, 176,831.74 and 33,639.40

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Solution

The fourth proportional to 117,880.84, 176,831.74 and 33,639.40 is: 50,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,880.84 : 176,831.74 = 33,639.40 : x
  2. Step 2: Convert to fraction form
    117,880.84/176,831.74 = 33,639.40/x
  3. Step 3: Cross multiply
    117,880.84x = 176,831.74 × 33,639.40
  4. Step 4: Simplify right side
    117,880.84x = 5,948,513,634.56
  5. Step 5: Solve for x
    x = 5,948,513,634.56/117,880.84
  6. Step 6: Final answer
    x = 50,462.09

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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.