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Finding the Fourth Proportional to 29,473.56, 44,221.86 and 11,007

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Solution

The fourth proportional to 29,473.56, 44,221.86 and 11,007 is: 16,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,473.56 : 44,221.86 = 11,007 : x
  2. Step 2: Convert to fraction form
    29,473.56/44,221.86 = 11,007/x
  3. Step 3: Cross multiply
    29,473.56x = 44,221.86 × 11,007
  4. Step 4: Simplify right side
    29,473.56x = 486,750,013.02
  5. Step 5: Solve for x
    x = 486,750,013.02/29,473.56
  6. Step 6: Final answer
    x = 16,514.80

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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.