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Finding the Fourth Proportional to 30,034.28, 45,048.33 and 7,844.76

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Solution

The fourth proportional to 30,034.28, 45,048.33 and 7,844.76 is: 11,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.28 : 45,048.33 = 7,844.76 : x
  2. Step 2: Convert to fraction form
    30,034.28/45,048.33 = 7,844.76/x
  3. Step 3: Cross multiply
    30,034.28x = 45,048.33 × 7,844.76
  4. Step 4: Simplify right side
    30,034.28x = 353,393,337.25
  5. Step 5: Solve for x
    x = 353,393,337.25/30,034.28
  6. Step 6: Final answer
    x = 11,766.33

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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.