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Finding the Fourth Proportional to 30,766.77, 46,103.18 and 15,980.49

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Solution

The fourth proportional to 30,766.77, 46,103.18 and 15,980.49 is: 23,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.77 : 46,103.18 = 15,980.49 : x
  2. Step 2: Convert to fraction form
    30,766.77/46,103.18 = 15,980.49/x
  3. Step 3: Cross multiply
    30,766.77x = 46,103.18 × 15,980.49
  4. Step 4: Simplify right side
    30,766.77x = 736,751,327.06
  5. Step 5: Solve for x
    x = 736,751,327.06/30,766.77
  6. Step 6: Final answer
    x = 23,946.33

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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.