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Finding the Fourth Proportional to 32,003.35, 47,984.47 and 13,296.31

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Solution

The fourth proportional to 32,003.35, 47,984.47 and 13,296.31 is: 19,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.35 : 47,984.47 = 13,296.31 : x
  2. Step 2: Convert to fraction form
    32,003.35/47,984.47 = 13,296.31/x
  3. Step 3: Cross multiply
    32,003.35x = 47,984.47 × 13,296.31
  4. Step 4: Simplify right side
    32,003.35x = 638,016,235.10
  5. Step 5: Solve for x
    x = 638,016,235.10/32,003.35
  6. Step 6: Final answer
    x = 19,935.92

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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.