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Finding the Fourth Proportional to 35,808.34, 49,413.75 and 19,893.70

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Solution

The fourth proportional to 35,808.34, 49,413.75 and 19,893.70 is: 27,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808.34 : 49,413.75 = 19,893.70 : x
  2. Step 2: Convert to fraction form
    35,808.34/49,413.75 = 19,893.70/x
  3. Step 3: Cross multiply
    35,808.34x = 49,413.75 × 19,893.70
  4. Step 4: Simplify right side
    35,808.34x = 983,022,318.38
  5. Step 5: Solve for x
    x = 983,022,318.38/35,808.34
  6. Step 6: Final answer
    x = 27,452.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.