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Finding the Fourth Proportional to 30,069.88, 45,109.14 and 9,295

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Solution

The fourth proportional to 30,069.88, 45,109.14 and 9,295 is: 13,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069.88 : 45,109.14 = 9,295 : x
  2. Step 2: Convert to fraction form
    30,069.88/45,109.14 = 9,295/x
  3. Step 3: Cross multiply
    30,069.88x = 45,109.14 × 9,295
  4. Step 4: Simplify right side
    30,069.88x = 419,289,456.30
  5. Step 5: Solve for x
    x = 419,289,456.30/30,069.88
  6. Step 6: Final answer
    x = 13,943.84

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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.