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Finding the Fourth Proportional to 30,226.16, 45,339.24 and 9,166.16

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Solution

The fourth proportional to 30,226.16, 45,339.24 and 9,166.16 is: 13,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.16 : 45,339.24 = 9,166.16 : x
  2. Step 2: Convert to fraction form
    30,226.16/45,339.24 = 9,166.16/x
  3. Step 3: Cross multiply
    30,226.16x = 45,339.24 × 9,166.16
  4. Step 4: Simplify right side
    30,226.16x = 415,586,728.12
  5. Step 5: Solve for x
    x = 415,586,728.12/30,226.16
  6. Step 6: Final answer
    x = 13,749.24

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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.