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Finding the Fourth Proportional to 32,515.80, 48,777.64 and 9,142.24

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Solution

The fourth proportional to 32,515.80, 48,777.64 and 9,142.24 is: 13,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515.80 : 48,777.64 = 9,142.24 : x
  2. Step 2: Convert to fraction form
    32,515.80/48,777.64 = 9,142.24/x
  3. Step 3: Cross multiply
    32,515.80x = 48,777.64 × 9,142.24
  4. Step 4: Simplify right side
    32,515.80x = 445,936,891.51
  5. Step 5: Solve for x
    x = 445,936,891.51/32,515.80
  6. Step 6: Final answer
    x = 13,714.47

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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.