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Finding the Fourth Proportional to 55,616.20, 83,325.66 and 46,201

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Solution

The fourth proportional to 55,616.20, 83,325.66 and 46,201 is: 69,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,616.20 : 83,325.66 = 46,201 : x
  2. Step 2: Convert to fraction form
    55,616.20/83,325.66 = 46,201/x
  3. Step 3: Cross multiply
    55,616.20x = 83,325.66 × 46,201
  4. Step 4: Simplify right side
    55,616.20x = 3,849,728,817.66
  5. Step 5: Solve for x
    x = 3,849,728,817.66/55,616.20
  6. Step 6: Final answer
    x = 69,219.56

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