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Finding the Fourth Proportional to 76,963.52, 106,180.43 and 46,737.43

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Solution

The fourth proportional to 76,963.52, 106,180.43 and 46,737.43 is: 64,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.52 : 106,180.43 = 46,737.43 : x
  2. Step 2: Convert to fraction form
    76,963.52/106,180.43 = 46,737.43/x
  3. Step 3: Cross multiply
    76,963.52x = 106,180.43 × 46,737.43
  4. Step 4: Simplify right side
    76,963.52x = 4,962,599,915.36
  5. Step 5: Solve for x
    x = 4,962,599,915.36/76,963.52
  6. Step 6: Final answer
    x = 64,479.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.