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Finding the Fourth Proportional to 30,523.60, 45,771.09 and 11,812.47

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Solution

The fourth proportional to 30,523.60, 45,771.09 and 11,812.47 is: 17,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.60 : 45,771.09 = 11,812.47 : x
  2. Step 2: Convert to fraction form
    30,523.60/45,771.09 = 11,812.47/x
  3. Step 3: Cross multiply
    30,523.60x = 45,771.09 × 11,812.47
  4. Step 4: Simplify right side
    30,523.60x = 540,669,627.49
  5. Step 5: Solve for x
    x = 540,669,627.49/30,523.60
  6. Step 6: Final answer
    x = 17,713.17

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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.