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Finding the Fourth Proportional to 29,547.96, 44,308.98 and 11,067

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Solution

The fourth proportional to 29,547.96, 44,308.98 and 11,067 is: 16,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.96 : 44,308.98 = 11,067 : x
  2. Step 2: Convert to fraction form
    29,547.96/44,308.98 = 11,067/x
  3. Step 3: Cross multiply
    29,547.96x = 44,308.98 × 11,067
  4. Step 4: Simplify right side
    29,547.96x = 490,367,481.66
  5. Step 5: Solve for x
    x = 490,367,481.66/29,547.96
  6. Step 6: Final answer
    x = 16,595.65

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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.