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Finding the Fourth Proportional to 69,542.08, 104,312.04 and 27,988

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Solution

The fourth proportional to 69,542.08, 104,312.04 and 27,988 is: 41,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542.08 : 104,312.04 = 27,988 : x
  2. Step 2: Convert to fraction form
    69,542.08/104,312.04 = 27,988/x
  3. Step 3: Cross multiply
    69,542.08x = 104,312.04 × 27,988
  4. Step 4: Simplify right side
    69,542.08x = 2,919,485,375.52
  5. Step 5: Solve for x
    x = 2,919,485,375.52/69,542.08
  6. Step 6: Final answer
    x = 41,981.57

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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.