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Finding the Fourth Proportional to 30,474.73, 45,708.45 and 13,834.09

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Solution

The fourth proportional to 30,474.73, 45,708.45 and 13,834.09 is: 20,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.73 : 45,708.45 = 13,834.09 : x
  2. Step 2: Convert to fraction form
    30,474.73/45,708.45 = 13,834.09/x
  3. Step 3: Cross multiply
    30,474.73x = 45,708.45 × 13,834.09
  4. Step 4: Simplify right side
    30,474.73x = 632,334,811.06
  5. Step 5: Solve for x
    x = 632,334,811.06/30,474.73
  6. Step 6: Final answer
    x = 20,749.48

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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.