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Finding the Fourth Proportional to 30,777.57, 46,147.14 and 12,999.06

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Solution

The fourth proportional to 30,777.57, 46,147.14 and 12,999.06 is: 19,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.57 : 46,147.14 = 12,999.06 : x
  2. Step 2: Convert to fraction form
    30,777.57/46,147.14 = 12,999.06/x
  3. Step 3: Cross multiply
    30,777.57x = 46,147.14 × 12,999.06
  4. Step 4: Simplify right side
    30,777.57x = 599,869,441.69
  5. Step 5: Solve for x
    x = 599,869,441.69/30,777.57
  6. Step 6: Final answer
    x = 19,490.47

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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.