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Finding the Fourth Proportional to 46,290.50, 69,439 and 18,588.50

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Solution

The fourth proportional to 46,290.50, 69,439 and 18,588.50 is: 27,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,290.50 : 69,439 = 18,588.50 : x
  2. Step 2: Convert to fraction form
    46,290.50/69,439 = 18,588.50/x
  3. Step 3: Cross multiply
    46,290.50x = 69,439 × 18,588.50
  4. Step 4: Simplify right side
    46,290.50x = 1,290,766,851.50
  5. Step 5: Solve for x
    x = 1,290,766,851.50/46,290.50
  6. Step 6: Final answer
    x = 27,884.06

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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.