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Finding the Fourth Proportional to 57,583.44, 86,190.48 and 30,862.76

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Solution

The fourth proportional to 57,583.44, 86,190.48 and 30,862.76 is: 46,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.44 : 86,190.48 = 30,862.76 : x
  2. Step 2: Convert to fraction form
    57,583.44/86,190.48 = 30,862.76/x
  3. Step 3: Cross multiply
    57,583.44x = 86,190.48 × 30,862.76
  4. Step 4: Simplify right side
    57,583.44x = 2,660,075,667.57
  5. Step 5: Solve for x
    x = 2,660,075,667.57/57,583.44
  6. Step 6: Final answer
    x = 46,195.15

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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.