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Finding the Fourth Proportional to 30,215.09, 45,322.94 and 9,155.19

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Solution

The fourth proportional to 30,215.09, 45,322.94 and 9,155.19 is: 13,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.09 : 45,322.94 = 9,155.19 : x
  2. Step 2: Convert to fraction form
    30,215.09/45,322.94 = 9,155.19/x
  3. Step 3: Cross multiply
    30,215.09x = 45,322.94 × 9,155.19
  4. Step 4: Simplify right side
    30,215.09x = 414,940,319.91
  5. Step 5: Solve for x
    x = 414,940,319.91/30,215.09
  6. Step 6: Final answer
    x = 13,732.88

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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.