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Finding the Fourth Proportional to 30,114.15, 45,212.60 and 15,333

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Solution

The fourth proportional to 30,114.15, 45,212.60 and 15,333 is: 23,020.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.15 : 45,212.60 = 15,333 : x
  2. Step 2: Convert to fraction form
    30,114.15/45,212.60 = 15,333/x
  3. Step 3: Cross multiply
    30,114.15x = 45,212.60 × 15,333
  4. Step 4: Simplify right side
    30,114.15x = 693,244,795.80
  5. Step 5: Solve for x
    x = 693,244,795.80/30,114.15
  6. Step 6: Final answer
    x = 23,020.57

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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.