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Finding the Fourth Proportional to 52,992, 79,384.11 and 30,758.76

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Solution

The fourth proportional to 52,992, 79,384.11 and 30,758.76 is: 46,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,992 : 79,384.11 = 30,758.76 : x
  2. Step 2: Convert to fraction form
    52,992/79,384.11 = 30,758.76/x
  3. Step 3: Cross multiply
    52,992x = 79,384.11 × 30,758.76
  4. Step 4: Simplify right side
    52,992x = 2,441,756,787.30
  5. Step 5: Solve for x
    x = 2,441,756,787.30/52,992
  6. Step 6: Final answer
    x = 46,077.84

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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.