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Finding the Fourth Proportional to 30,705.70, 46,021.20 and 17,345.56

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Solution

The fourth proportional to 30,705.70, 46,021.20 and 17,345.56 is: 25,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.70 : 46,021.20 = 17,345.56 : x
  2. Step 2: Convert to fraction form
    30,705.70/46,021.20 = 17,345.56/x
  3. Step 3: Cross multiply
    30,705.70x = 46,021.20 × 17,345.56
  4. Step 4: Simplify right side
    30,705.70x = 798,263,485.87
  5. Step 5: Solve for x
    x = 798,263,485.87/30,705.70
  6. Step 6: Final answer
    x = 25,997.24

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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.