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Finding the Fourth Proportional to 51,102.44, 70,461.03 and 34,977.52

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Solution

The fourth proportional to 51,102.44, 70,461.03 and 34,977.52 is: 48,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102.44 : 70,461.03 = 34,977.52 : x
  2. Step 2: Convert to fraction form
    51,102.44/70,461.03 = 34,977.52/x
  3. Step 3: Cross multiply
    51,102.44x = 70,461.03 × 34,977.52
  4. Step 4: Simplify right side
    51,102.44x = 2,464,552,086.05
  5. Step 5: Solve for x
    x = 2,464,552,086.05/51,102.44
  6. Step 6: Final answer
    x = 48,227.68

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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.