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Finding the Fourth Proportional to 32,365.28, 48,548.24 and 10,178.16

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Solution

The fourth proportional to 32,365.28, 48,548.24 and 10,178.16 is: 15,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.28 : 48,548.24 = 10,178.16 : x
  2. Step 2: Convert to fraction form
    32,365.28/48,548.24 = 10,178.16/x
  3. Step 3: Cross multiply
    32,365.28x = 48,548.24 × 10,178.16
  4. Step 4: Simplify right side
    32,365.28x = 494,131,754.44
  5. Step 5: Solve for x
    x = 494,131,754.44/32,365.28
  6. Step 6: Final answer
    x = 15,267.34

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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.