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Finding the Fourth Proportional to 46,102.72, 69,122.49 and 16,519.90

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Solution

The fourth proportional to 46,102.72, 69,122.49 and 16,519.90 is: 24,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102.72 : 69,122.49 = 16,519.90 : x
  2. Step 2: Convert to fraction form
    46,102.72/69,122.49 = 16,519.90/x
  3. Step 3: Cross multiply
    46,102.72x = 69,122.49 × 16,519.90
  4. Step 4: Simplify right side
    46,102.72x = 1,141,896,622.55
  5. Step 5: Solve for x
    x = 1,141,896,622.55/46,102.72
  6. Step 6: Final answer
    x = 24,768.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.