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Finding the Fourth Proportional to 30,431.63, 45,647.43 and 11,459.84

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Solution

The fourth proportional to 30,431.63, 45,647.43 and 11,459.84 is: 17,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.63 : 45,647.43 = 11,459.84 : x
  2. Step 2: Convert to fraction form
    30,431.63/45,647.43 = 11,459.84/x
  3. Step 3: Cross multiply
    30,431.63x = 45,647.43 × 11,459.84
  4. Step 4: Simplify right side
    30,431.63x = 523,112,244.21
  5. Step 5: Solve for x
    x = 523,112,244.21/30,431.63
  6. Step 6: Final answer
    x = 17,189.75

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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.