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Finding the Fourth Proportional to 29,982, 44,975.16 and 11,514

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Solution

The fourth proportional to 29,982, 44,975.16 and 11,514 is: 17,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 44,975.16 = 11,514 : x
  2. Step 2: Convert to fraction form
    29,982/44,975.16 = 11,514/x
  3. Step 3: Cross multiply
    29,982x = 44,975.16 × 11,514
  4. Step 4: Simplify right side
    29,982x = 517,843,992.24
  5. Step 5: Solve for x
    x = 517,843,992.24/29,982
  6. Step 6: Final answer
    x = 17,271.83

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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.