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Finding the Fourth Proportional to 35,563.70, 49,077.90 and 19,648.14

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Solution

The fourth proportional to 35,563.70, 49,077.90 and 19,648.14 is: 27,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.70 : 49,077.90 = 19,648.14 : x
  2. Step 2: Convert to fraction form
    35,563.70/49,077.90 = 19,648.14/x
  3. Step 3: Cross multiply
    35,563.70x = 49,077.90 × 19,648.14
  4. Step 4: Simplify right side
    35,563.70x = 964,289,450.11
  5. Step 5: Solve for x
    x = 964,289,450.11/35,563.70
  6. Step 6: Final answer
    x = 27,114.43

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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.