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Finding the Fourth Proportional to 30,224.16, 45,336.24 and 9,164.16

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Solution

The fourth proportional to 30,224.16, 45,336.24 and 9,164.16 is: 13,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.16 : 45,336.24 = 9,164.16 : x
  2. Step 2: Convert to fraction form
    30,224.16/45,336.24 = 9,164.16/x
  3. Step 3: Cross multiply
    30,224.16x = 45,336.24 × 9,164.16
  4. Step 4: Simplify right side
    30,224.16x = 415,468,557.16
  5. Step 5: Solve for x
    x = 415,468,557.16/30,224.16
  6. Step 6: Final answer
    x = 13,746.24

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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.