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Finding the Fourth Proportional to 29,576, 40,821.82 and 19,506.26

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Solution

The fourth proportional to 29,576, 40,821.82 and 19,506.26 is: 26,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576 : 40,821.82 = 19,506.26 : x
  2. Step 2: Convert to fraction form
    29,576/40,821.82 = 19,506.26/x
  3. Step 3: Cross multiply
    29,576x = 40,821.82 × 19,506.26
  4. Step 4: Simplify right side
    29,576x = 796,281,034.59
  5. Step 5: Solve for x
    x = 796,281,034.59/29,576
  6. Step 6: Final answer
    x = 26,923.22

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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.