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Finding the Fourth Proportional to 29,844, 44,760.78 and 9,853.74

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Solution

The fourth proportional to 29,844, 44,760.78 and 9,853.74 is: 14,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844 : 44,760.78 = 9,853.74 : x
  2. Step 2: Convert to fraction form
    29,844/44,760.78 = 9,853.74/x
  3. Step 3: Cross multiply
    29,844x = 44,760.78 × 9,853.74
  4. Step 4: Simplify right side
    29,844x = 441,061,088.32
  5. Step 5: Solve for x
    x = 441,061,088.32/29,844
  6. Step 6: Final answer
    x = 14,778.89

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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.