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Finding the Fourth Proportional to 29,633.04, 44,448.48 and 8,856

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Solution

The fourth proportional to 29,633.04, 44,448.48 and 8,856 is: 13,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.04 : 44,448.48 = 8,856 : x
  2. Step 2: Convert to fraction form
    29,633.04/44,448.48 = 8,856/x
  3. Step 3: Cross multiply
    29,633.04x = 44,448.48 × 8,856
  4. Step 4: Simplify right side
    29,633.04x = 393,635,738.88
  5. Step 5: Solve for x
    x = 393,635,738.88/29,633.04
  6. Step 6: Final answer
    x = 13,283.68

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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.