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Finding the Fourth Proportional to 51,307.41, 76,822.71 and 33,493.95

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Solution

The fourth proportional to 51,307.41, 76,822.71 and 33,493.95 is: 50,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,307.41 : 76,822.71 = 33,493.95 : x
  2. Step 2: Convert to fraction form
    51,307.41/76,822.71 = 33,493.95/x
  3. Step 3: Cross multiply
    51,307.41x = 76,822.71 × 33,493.95
  4. Step 4: Simplify right side
    51,307.41x = 2,573,096,007.60
  5. Step 5: Solve for x
    x = 2,573,096,007.60/51,307.41
  6. Step 6: Final answer
    x = 50,150.58

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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.