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Finding the Fourth Proportional to 30,129.68, 45,194.29 and 9,069.62

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Solution

The fourth proportional to 30,129.68, 45,194.29 and 9,069.62 is: 13,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.68 : 45,194.29 = 9,069.62 : x
  2. Step 2: Convert to fraction form
    30,129.68/45,194.29 = 9,069.62/x
  3. Step 3: Cross multiply
    30,129.68x = 45,194.29 × 9,069.62
  4. Step 4: Simplify right side
    30,129.68x = 409,895,036.47
  5. Step 5: Solve for x
    x = 409,895,036.47/30,129.68
  6. Step 6: Final answer
    x = 13,604.36

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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.