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Finding the Fourth Proportional to 55,618.20, 83,328.66 and 46,203

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Solution

The fourth proportional to 55,618.20, 83,328.66 and 46,203 is: 69,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,618.20 : 83,328.66 = 46,203 : x
  2. Step 2: Convert to fraction form
    55,618.20/83,328.66 = 46,203/x
  3. Step 3: Cross multiply
    55,618.20x = 83,328.66 × 46,203
  4. Step 4: Simplify right side
    55,618.20x = 3,850,034,077.98
  5. Step 5: Solve for x
    x = 3,850,034,077.98/55,618.20
  6. Step 6: Final answer
    x = 69,222.56

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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.