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Finding the Fourth Proportional to 30,370.14, 45,556.29 and 8,184.06

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Solution

The fourth proportional to 30,370.14, 45,556.29 and 8,184.06 is: 12,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.14 : 45,556.29 = 8,184.06 : x
  2. Step 2: Convert to fraction form
    30,370.14/45,556.29 = 8,184.06/x
  3. Step 3: Cross multiply
    30,370.14x = 45,556.29 × 8,184.06
  4. Step 4: Simplify right side
    30,370.14x = 372,835,142.04
  5. Step 5: Solve for x
    x = 372,835,142.04/30,370.14
  6. Step 6: Final answer
    x = 12,276.37

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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.