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Finding the Fourth Proportional to 29,809.78, 44,723.61 and 12,031.29

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Solution

The fourth proportional to 29,809.78, 44,723.61 and 12,031.29 is: 18,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.78 : 44,723.61 = 12,031.29 : x
  2. Step 2: Convert to fraction form
    29,809.78/44,723.61 = 12,031.29/x
  3. Step 3: Cross multiply
    29,809.78x = 44,723.61 × 12,031.29
  4. Step 4: Simplify right side
    29,809.78x = 538,082,721.76
  5. Step 5: Solve for x
    x = 538,082,721.76/29,809.78
  6. Step 6: Final answer
    x = 18,050.54

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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.