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Finding the Fourth Proportional to 30,778.67, 46,175.15 and 9,720.80

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Solution

The fourth proportional to 30,778.67, 46,175.15 and 9,720.80 is: 14,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.67 : 46,175.15 = 9,720.80 : x
  2. Step 2: Convert to fraction form
    30,778.67/46,175.15 = 9,720.80/x
  3. Step 3: Cross multiply
    30,778.67x = 46,175.15 × 9,720.80
  4. Step 4: Simplify right side
    30,778.67x = 448,859,398.12
  5. Step 5: Solve for x
    x = 448,859,398.12/30,778.67
  6. Step 6: Final answer
    x = 14,583.46

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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.