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Finding the Fourth Proportional to 29,853.56, 44,781.03 and 9,856.59

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Solution

The fourth proportional to 29,853.56, 44,781.03 and 9,856.59 is: 14,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.56 : 44,781.03 = 9,856.59 : x
  2. Step 2: Convert to fraction form
    29,853.56/44,781.03 = 9,856.59/x
  3. Step 3: Cross multiply
    29,853.56x = 44,781.03 × 9,856.59
  4. Step 4: Simplify right side
    29,853.56x = 441,388,252.49
  5. Step 5: Solve for x
    x = 441,388,252.49/29,853.56
  6. Step 6: Final answer
    x = 14,785.12

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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.