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Finding the Fourth Proportional to 32,365.78, 48,548.99 and 10,178.66

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Solution

The fourth proportional to 32,365.78, 48,548.99 and 10,178.66 is: 15,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.78 : 48,548.99 = 10,178.66 : x
  2. Step 2: Convert to fraction form
    32,365.78/48,548.99 = 10,178.66/x
  3. Step 3: Cross multiply
    32,365.78x = 48,548.99 × 10,178.66
  4. Step 4: Simplify right side
    32,365.78x = 494,163,662.55
  5. Step 5: Solve for x
    x = 494,163,662.55/32,365.78
  6. Step 6: Final answer
    x = 15,268.09

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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.