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Finding the Fourth Proportional to 32,029.56, 48,047.85 and 13,311.81

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Solution

The fourth proportional to 32,029.56, 48,047.85 and 13,311.81 is: 19,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.56 : 48,047.85 = 13,311.81 : x
  2. Step 2: Convert to fraction form
    32,029.56/48,047.85 = 13,311.81/x
  3. Step 3: Cross multiply
    32,029.56x = 48,047.85 × 13,311.81
  4. Step 4: Simplify right side
    32,029.56x = 639,603,850.11
  5. Step 5: Solve for x
    x = 639,603,850.11/32,029.56
  6. Step 6: Final answer
    x = 19,969.17

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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.