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Finding the Fourth Proportional to 30,843.29, 46,266.62 and 9,781.80

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Solution

The fourth proportional to 30,843.29, 46,266.62 and 9,781.80 is: 14,673.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.29 : 46,266.62 = 9,781.80 : x
  2. Step 2: Convert to fraction form
    30,843.29/46,266.62 = 9,781.80/x
  3. Step 3: Cross multiply
    30,843.29x = 46,266.62 × 9,781.80
  4. Step 4: Simplify right side
    30,843.29x = 452,570,970.20
  5. Step 5: Solve for x
    x = 452,570,970.20/30,843.29
  6. Step 6: Final answer
    x = 14,673.24

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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.