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Finding the Fourth Proportional to 36,509.82, 54,500.64 and 32,081.16

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Solution

The fourth proportional to 36,509.82, 54,500.64 and 32,081.16 is: 47,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.82 : 54,500.64 = 32,081.16 : x
  2. Step 2: Convert to fraction form
    36,509.82/54,500.64 = 32,081.16/x
  3. Step 3: Cross multiply
    36,509.82x = 54,500.64 × 32,081.16
  4. Step 4: Simplify right side
    36,509.82x = 1,748,443,751.94
  5. Step 5: Solve for x
    x = 1,748,443,751.94/36,509.82
  6. Step 6: Final answer
    x = 47,889.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.