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Finding the Fourth Proportional to 30,129.82, 45,201.06 and 11,409.45

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Solution

The fourth proportional to 30,129.82, 45,201.06 and 11,409.45 is: 17,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.82 : 45,201.06 = 11,409.45 : x
  2. Step 2: Convert to fraction form
    30,129.82/45,201.06 = 11,409.45/x
  3. Step 3: Cross multiply
    30,129.82x = 45,201.06 × 11,409.45
  4. Step 4: Simplify right side
    30,129.82x = 515,719,234.02
  5. Step 5: Solve for x
    x = 515,719,234.02/30,129.82
  6. Step 6: Final answer
    x = 17,116.57

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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.