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Finding the Fourth Proportional to 30,823.32, 46,196.61 and 14,165.64

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Solution

The fourth proportional to 30,823.32, 46,196.61 and 14,165.64 is: 21,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.32 : 46,196.61 = 14,165.64 : x
  2. Step 2: Convert to fraction form
    30,823.32/46,196.61 = 14,165.64/x
  3. Step 3: Cross multiply
    30,823.32x = 46,196.61 × 14,165.64
  4. Step 4: Simplify right side
    30,823.32x = 654,404,546.48
  5. Step 5: Solve for x
    x = 654,404,546.48/30,823.32
  6. Step 6: Final answer
    x = 21,230.83

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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.