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Finding the Fourth Proportional to 45,114.36, 67,682.52 and 31,813.32

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Solution

The fourth proportional to 45,114.36, 67,682.52 and 31,813.32 is: 47,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114.36 : 67,682.52 = 31,813.32 : x
  2. Step 2: Convert to fraction form
    45,114.36/67,682.52 = 31,813.32/x
  3. Step 3: Cross multiply
    45,114.36x = 67,682.52 × 31,813.32
  4. Step 4: Simplify right side
    45,114.36x = 2,153,205,667.17
  5. Step 5: Solve for x
    x = 2,153,205,667.17/45,114.36
  6. Step 6: Final answer
    x = 47,727.72

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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.