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Finding the Fourth Proportional to 33,762.83, 50,612.94 and 11,570.94

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Solution

The fourth proportional to 33,762.83, 50,612.94 and 11,570.94 is: 17,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,762.83 : 50,612.94 = 11,570.94 : x
  2. Step 2: Convert to fraction form
    33,762.83/50,612.94 = 11,570.94/x
  3. Step 3: Cross multiply
    33,762.83x = 50,612.94 × 11,570.94
  4. Step 4: Simplify right side
    33,762.83x = 585,639,291.96
  5. Step 5: Solve for x
    x = 585,639,291.96/33,762.83
  6. Step 6: Final answer
    x = 17,345.68

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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.