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Finding the Fourth Proportional to 30,714.89, 46,067.20 and 8,530.51

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Solution

The fourth proportional to 30,714.89, 46,067.20 and 8,530.51 is: 12,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.89 : 46,067.20 = 8,530.51 : x
  2. Step 2: Convert to fraction form
    30,714.89/46,067.20 = 8,530.51/x
  3. Step 3: Cross multiply
    30,714.89x = 46,067.20 × 8,530.51
  4. Step 4: Simplify right side
    30,714.89x = 392,976,667.62
  5. Step 5: Solve for x
    x = 392,976,667.62/30,714.89
  6. Step 6: Final answer
    x = 12,794.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.