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Finding the Fourth Proportional to 29,385.72, 44,081.34 and 9,664.32

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Solution

The fourth proportional to 29,385.72, 44,081.34 and 9,664.32 is: 14,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385.72 : 44,081.34 = 9,664.32 : x
  2. Step 2: Convert to fraction form
    29,385.72/44,081.34 = 9,664.32/x
  3. Step 3: Cross multiply
    29,385.72x = 44,081.34 × 9,664.32
  4. Step 4: Simplify right side
    29,385.72x = 426,016,175.79
  5. Step 5: Solve for x
    x = 426,016,175.79/29,385.72
  6. Step 6: Final answer
    x = 14,497.39

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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.