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Finding the Fourth Proportional to 30,764.09, 46,148.74 and 8,577.49

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Solution

The fourth proportional to 30,764.09, 46,148.74 and 8,577.49 is: 12,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.09 : 46,148.74 = 8,577.49 : x
  2. Step 2: Convert to fraction form
    30,764.09/46,148.74 = 8,577.49/x
  3. Step 3: Cross multiply
    30,764.09x = 46,148.74 × 8,577.49
  4. Step 4: Simplify right side
    30,764.09x = 395,840,251.21
  5. Step 5: Solve for x
    x = 395,840,251.21/30,764.09
  6. Step 6: Final answer
    x = 12,866.96

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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.