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Finding the Fourth Proportional to 39,896.70, 55,075.59 and 28,419

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Solution

The fourth proportional to 39,896.70, 55,075.59 and 28,419 is: 39,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896.70 : 55,075.59 = 28,419 : x
  2. Step 2: Convert to fraction form
    39,896.70/55,075.59 = 28,419/x
  3. Step 3: Cross multiply
    39,896.70x = 55,075.59 × 28,419
  4. Step 4: Simplify right side
    39,896.70x = 1,565,193,192.21
  5. Step 5: Solve for x
    x = 1,565,193,192.21/39,896.70
  6. Step 6: Final answer
    x = 39,231.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.