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Finding the Fourth Proportional to 30,824.96, 46,239.50 and 10,832.02

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Solution

The fourth proportional to 30,824.96, 46,239.50 and 10,832.02 is: 16,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.96 : 46,239.50 = 10,832.02 : x
  2. Step 2: Convert to fraction form
    30,824.96/46,239.50 = 10,832.02/x
  3. Step 3: Cross multiply
    30,824.96x = 46,239.50 × 10,832.02
  4. Step 4: Simplify right side
    30,824.96x = 500,867,100.27
  5. Step 5: Solve for x
    x = 500,867,100.27/30,824.96
  6. Step 6: Final answer
    x = 16,248.75

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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.