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Finding the Fourth Proportional to 32,003.94, 47,985.36 and 13,296.90

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Solution

The fourth proportional to 32,003.94, 47,985.36 and 13,296.90 is: 19,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.94 : 47,985.36 = 13,296.90 : x
  2. Step 2: Convert to fraction form
    32,003.94/47,985.36 = 13,296.90/x
  3. Step 3: Cross multiply
    32,003.94x = 47,985.36 × 13,296.90
  4. Step 4: Simplify right side
    32,003.94x = 638,056,533.38
  5. Step 5: Solve for x
    x = 638,056,533.38/32,003.94
  6. Step 6: Final answer
    x = 19,936.81

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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.