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Finding the Fourth Proportional to 30,289.78, 45,419.41 and 17,643.61

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Solution

The fourth proportional to 30,289.78, 45,419.41 and 17,643.61 is: 26,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.78 : 45,419.41 = 17,643.61 : x
  2. Step 2: Convert to fraction form
    30,289.78/45,419.41 = 17,643.61/x
  3. Step 3: Cross multiply
    30,289.78x = 45,419.41 × 17,643.61
  4. Step 4: Simplify right side
    30,289.78x = 801,362,198.81
  5. Step 5: Solve for x
    x = 801,362,198.81/30,289.78
  6. Step 6: Final answer
    x = 26,456.52

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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.