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Finding the Fourth Proportional to 32,631.76, 45,031.74 and 17,727.76

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Solution

The fourth proportional to 32,631.76, 45,031.74 and 17,727.76 is: 24,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,631.76 : 45,031.74 = 17,727.76 : x
  2. Step 2: Convert to fraction form
    32,631.76/45,031.74 = 17,727.76/x
  3. Step 3: Cross multiply
    32,631.76x = 45,031.74 × 17,727.76
  4. Step 4: Simplify right side
    32,631.76x = 798,311,879.10
  5. Step 5: Solve for x
    x = 798,311,879.10/32,631.76
  6. Step 6: Final answer
    x = 24,464.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.