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Finding the Fourth Proportional to 32,929.31, 49,392.22 and 9,238.49

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Solution

The fourth proportional to 32,929.31, 49,392.22 and 9,238.49 is: 13,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929.31 : 49,392.22 = 9,238.49 : x
  2. Step 2: Convert to fraction form
    32,929.31/49,392.22 = 9,238.49/x
  3. Step 3: Cross multiply
    32,929.31x = 49,392.22 × 9,238.49
  4. Step 4: Simplify right side
    32,929.31x = 456,309,530.55
  5. Step 5: Solve for x
    x = 456,309,530.55/32,929.31
  6. Step 6: Final answer
    x = 13,857.25

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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.