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Finding the Fourth Proportional to 30,843.05, 46,265.45 and 9,783.18

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Solution

The fourth proportional to 30,843.05, 46,265.45 and 9,783.18 is: 14,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.05 : 46,265.45 = 9,783.18 : x
  2. Step 2: Convert to fraction form
    30,843.05/46,265.45 = 9,783.18/x
  3. Step 3: Cross multiply
    30,843.05x = 46,265.45 × 9,783.18
  4. Step 4: Simplify right side
    30,843.05x = 452,623,176.22
  5. Step 5: Solve for x
    x = 452,623,176.22/30,843.05
  6. Step 6: Final answer
    x = 14,675.05

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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.