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Finding the Fourth Proportional to 43,713.71, 65,321.70 and 32,823.44

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Solution

The fourth proportional to 43,713.71, 65,321.70 and 32,823.44 is: 49,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,713.71 : 65,321.70 = 32,823.44 : x
  2. Step 2: Convert to fraction form
    43,713.71/65,321.70 = 32,823.44/x
  3. Step 3: Cross multiply
    43,713.71x = 65,321.70 × 32,823.44
  4. Step 4: Simplify right side
    43,713.71x = 2,144,082,900.65
  5. Step 5: Solve for x
    x = 2,144,082,900.65/43,713.71
  6. Step 6: Final answer
    x = 49,048.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.