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Finding the Fourth Proportional to 39,728.44, 59,600 and 13,075.92

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Solution

The fourth proportional to 39,728.44, 59,600 and 13,075.92 is: 19,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728.44 : 59,600 = 13,075.92 : x
  2. Step 2: Convert to fraction form
    39,728.44/59,600 = 13,075.92/x
  3. Step 3: Cross multiply
    39,728.44x = 59,600 × 13,075.92
  4. Step 4: Simplify right side
    39,728.44x = 779,324,832
  5. Step 5: Solve for x
    x = 779,324,832/39,728.44
  6. Step 6: Final answer
    x = 19,616.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.