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Finding the Fourth Proportional to 29,983.68, 44,967.32 and 11,262.27

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Solution

The fourth proportional to 29,983.68, 44,967.32 and 11,262.27 is: 16,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.68 : 44,967.32 = 11,262.27 : x
  2. Step 2: Convert to fraction form
    29,983.68/44,967.32 = 11,262.27/x
  3. Step 3: Cross multiply
    29,983.68x = 44,967.32 × 11,262.27
  4. Step 4: Simplify right side
    29,983.68x = 506,434,042.71
  5. Step 5: Solve for x
    x = 506,434,042.71/29,983.68
  6. Step 6: Final answer
    x = 16,890.32

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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.