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Finding the Fourth Proportional to 30,968.71, 46,453.04 and 8,782.27

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Solution

The fourth proportional to 30,968.71, 46,453.04 and 8,782.27 is: 13,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.71 : 46,453.04 = 8,782.27 : x
  2. Step 2: Convert to fraction form
    30,968.71/46,453.04 = 8,782.27/x
  3. Step 3: Cross multiply
    30,968.71x = 46,453.04 × 8,782.27
  4. Step 4: Simplify right side
    30,968.71x = 407,962,907.34
  5. Step 5: Solve for x
    x = 407,962,907.34/30,968.71
  6. Step 6: Final answer
    x = 13,173.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.