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Finding the Fourth Proportional to 30,885.36, 46,327.69 and 7,511.82

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Solution

The fourth proportional to 30,885.36, 46,327.69 and 7,511.82 is: 11,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.36 : 46,327.69 = 7,511.82 : x
  2. Step 2: Convert to fraction form
    30,885.36/46,327.69 = 7,511.82/x
  3. Step 3: Cross multiply
    30,885.36x = 46,327.69 × 7,511.82
  4. Step 4: Simplify right side
    30,885.36x = 348,005,268.30
  5. Step 5: Solve for x
    x = 348,005,268.30/30,885.36
  6. Step 6: Final answer
    x = 11,267.64

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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.