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Finding the Fourth Proportional to 30,999.74, 46,500.42 and 9,941.82

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Solution

The fourth proportional to 30,999.74, 46,500.42 and 9,941.82 is: 14,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.74 : 46,500.42 = 9,941.82 : x
  2. Step 2: Convert to fraction form
    30,999.74/46,500.42 = 9,941.82/x
  3. Step 3: Cross multiply
    30,999.74x = 46,500.42 × 9,941.82
  4. Step 4: Simplify right side
    30,999.74x = 462,298,805.56
  5. Step 5: Solve for x
    x = 462,298,805.56/30,999.74
  6. Step 6: Final answer
    x = 14,912.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.