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Finding the Fourth Proportional to 30,840.84, 46,232.10 and 28,012.32

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Solution

The fourth proportional to 30,840.84, 46,232.10 and 28,012.32 is: 41,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.84 : 46,232.10 = 28,012.32 : x
  2. Step 2: Convert to fraction form
    30,840.84/46,232.10 = 28,012.32/x
  3. Step 3: Cross multiply
    30,840.84x = 46,232.10 × 28,012.32
  4. Step 4: Simplify right side
    30,840.84x = 1,295,068,379.47
  5. Step 5: Solve for x
    x = 1,295,068,379.47/30,840.84
  6. Step 6: Final answer
    x = 41,991.99

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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.