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Finding the Fourth Proportional to 30,999.96, 46,473.74 and 13,456.60

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Solution

The fourth proportional to 30,999.96, 46,473.74 and 13,456.60 is: 20,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.96 : 46,473.74 = 13,456.60 : x
  2. Step 2: Convert to fraction form
    30,999.96/46,473.74 = 13,456.60/x
  3. Step 3: Cross multiply
    30,999.96x = 46,473.74 × 13,456.60
  4. Step 4: Simplify right side
    30,999.96x = 625,378,529.68
  5. Step 5: Solve for x
    x = 625,378,529.68/30,999.96
  6. Step 6: Final answer
    x = 20,173.53

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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.