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Finding the Fourth Proportional to 29,754.63, 44,630.10 and 12,224

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Solution

The fourth proportional to 29,754.63, 44,630.10 and 12,224 is: 18,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754.63 : 44,630.10 = 12,224 : x
  2. Step 2: Convert to fraction form
    29,754.63/44,630.10 = 12,224/x
  3. Step 3: Cross multiply
    29,754.63x = 44,630.10 × 12,224
  4. Step 4: Simplify right side
    29,754.63x = 545,558,342.40
  5. Step 5: Solve for x
    x = 545,558,342.40/29,754.63
  6. Step 6: Final answer
    x = 18,335.24

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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.