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Finding the Fourth Proportional to 30,313.50, 41,832.63 and 17,065.50

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Solution

The fourth proportional to 30,313.50, 41,832.63 and 17,065.50 is: 23,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.50 : 41,832.63 = 17,065.50 : x
  2. Step 2: Convert to fraction form
    30,313.50/41,832.63 = 17,065.50/x
  3. Step 3: Cross multiply
    30,313.50x = 41,832.63 × 17,065.50
  4. Step 4: Simplify right side
    30,313.50x = 713,894,747.27
  5. Step 5: Solve for x
    x = 713,894,747.27/30,313.50
  6. Step 6: Final answer
    x = 23,550.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.