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Finding the Fourth Proportional to 30,892.32, 46,301.40 and 14,229.48

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Solution

The fourth proportional to 30,892.32, 46,301.40 and 14,229.48 is: 21,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.32 : 46,301.40 = 14,229.48 : x
  2. Step 2: Convert to fraction form
    30,892.32/46,301.40 = 14,229.48/x
  3. Step 3: Cross multiply
    30,892.32x = 46,301.40 × 14,229.48
  4. Step 4: Simplify right side
    30,892.32x = 658,844,845.27
  5. Step 5: Solve for x
    x = 658,844,845.27/30,892.32
  6. Step 6: Final answer
    x = 21,327.14

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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.