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Finding the Fourth Proportional to 32,171.37, 48,261.69 and 9,986.52

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Solution

The fourth proportional to 32,171.37, 48,261.69 and 9,986.52 is: 14,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.37 : 48,261.69 = 9,986.52 : x
  2. Step 2: Convert to fraction form
    32,171.37/48,261.69 = 9,986.52/x
  3. Step 3: Cross multiply
    32,171.37x = 48,261.69 × 9,986.52
  4. Step 4: Simplify right side
    32,171.37x = 481,966,332.42
  5. Step 5: Solve for x
    x = 481,966,332.42/32,171.37
  6. Step 6: Final answer
    x = 14,981.22

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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.