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Finding the Fourth Proportional to 35,576, 49,095.86 and 19,661.48

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Solution

The fourth proportional to 35,576, 49,095.86 and 19,661.48 is: 27,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576 : 49,095.86 = 19,661.48 : x
  2. Step 2: Convert to fraction form
    35,576/49,095.86 = 19,661.48/x
  3. Step 3: Cross multiply
    35,576x = 49,095.86 × 19,661.48
  4. Step 4: Simplify right side
    35,576x = 965,297,269.47
  5. Step 5: Solve for x
    x = 965,297,269.47/35,576
  6. Step 6: Final answer
    x = 27,133.38

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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.