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Finding the Fourth Proportional to 29,643, 44,451.50 and 8,861.64

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Solution

The fourth proportional to 29,643, 44,451.50 and 8,861.64 is: 13,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643 : 44,451.50 = 8,861.64 : x
  2. Step 2: Convert to fraction form
    29,643/44,451.50 = 8,861.64/x
  3. Step 3: Cross multiply
    29,643x = 44,451.50 × 8,861.64
  4. Step 4: Simplify right side
    29,643x = 393,913,190.46
  5. Step 5: Solve for x
    x = 393,913,190.46/29,643
  6. Step 6: Final answer
    x = 13,288.57

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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.