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Finding the Fourth Proportional to 30,773.36, 46,160.04 and 9,728.18

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Solution

The fourth proportional to 30,773.36, 46,160.04 and 9,728.18 is: 14,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.36 : 46,160.04 = 9,728.18 : x
  2. Step 2: Convert to fraction form
    30,773.36/46,160.04 = 9,728.18/x
  3. Step 3: Cross multiply
    30,773.36x = 46,160.04 × 9,728.18
  4. Step 4: Simplify right side
    30,773.36x = 449,053,177.93
  5. Step 5: Solve for x
    x = 449,053,177.93/30,773.36
  6. Step 6: Final answer
    x = 14,592.27

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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.