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Finding the Fourth Proportional to 50,756.85, 70,020.99 and 32,857.65

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Solution

The fourth proportional to 50,756.85, 70,020.99 and 32,857.65 is: 45,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,756.85 : 70,020.99 = 32,857.65 : x
  2. Step 2: Convert to fraction form
    50,756.85/70,020.99 = 32,857.65/x
  3. Step 3: Cross multiply
    50,756.85x = 70,020.99 × 32,857.65
  4. Step 4: Simplify right side
    50,756.85x = 2,300,725,182.07
  5. Step 5: Solve for x
    x = 2,300,725,182.07/50,756.85
  6. Step 6: Final answer
    x = 45,328.37

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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.