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Finding the Fourth Proportional to 29,741, 44,618.79 and 8,964.50

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Solution

The fourth proportional to 29,741, 44,618.79 and 8,964.50 is: 13,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741 : 44,618.79 = 8,964.50 : x
  2. Step 2: Convert to fraction form
    29,741/44,618.79 = 8,964.50/x
  3. Step 3: Cross multiply
    29,741x = 44,618.79 × 8,964.50
  4. Step 4: Simplify right side
    29,741x = 399,985,142.96
  5. Step 5: Solve for x
    x = 399,985,142.96/29,741
  6. Step 6: Final answer
    x = 13,448.95

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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.