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Finding the Fourth Proportional to 30,968.90, 46,453.33 and 8,782.47

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Solution

The fourth proportional to 30,968.90, 46,453.33 and 8,782.47 is: 13,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.90 : 46,453.33 = 8,782.47 : x
  2. Step 2: Convert to fraction form
    30,968.90/46,453.33 = 8,782.47/x
  3. Step 3: Cross multiply
    30,968.90x = 46,453.33 × 8,782.47
  4. Step 4: Simplify right side
    30,968.90x = 407,974,700.95
  5. Step 5: Solve for x
    x = 407,974,700.95/30,968.90
  6. Step 6: Final answer
    x = 13,173.69

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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.