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Finding the Fourth Proportional to 32,127.83, 48,190.29 and 8,434.82

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Solution

The fourth proportional to 32,127.83, 48,190.29 and 8,434.82 is: 12,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,127.83 : 48,190.29 = 8,434.82 : x
  2. Step 2: Convert to fraction form
    32,127.83/48,190.29 = 8,434.82/x
  3. Step 3: Cross multiply
    32,127.83x = 48,190.29 × 8,434.82
  4. Step 4: Simplify right side
    32,127.83x = 406,476,260.43
  5. Step 5: Solve for x
    x = 406,476,260.43/32,127.83
  6. Step 6: Final answer
    x = 12,651.84

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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.