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Finding the Fourth Proportional to 30,835.56, 46,260.54 and 10,059

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Solution

The fourth proportional to 30,835.56, 46,260.54 and 10,059 is: 15,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.56 : 46,260.54 = 10,059 : x
  2. Step 2: Convert to fraction form
    30,835.56/46,260.54 = 10,059/x
  3. Step 3: Cross multiply
    30,835.56x = 46,260.54 × 10,059
  4. Step 4: Simplify right side
    30,835.56x = 465,334,771.86
  5. Step 5: Solve for x
    x = 465,334,771.86/30,835.56
  6. Step 6: Final answer
    x = 15,090.85

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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.