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Finding the Fourth Proportional to 35,807.56, 49,413.06 and 19,893.01

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Solution

The fourth proportional to 35,807.56, 49,413.06 and 19,893.01 is: 27,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.56 : 49,413.06 = 19,893.01 : x
  2. Step 2: Convert to fraction form
    35,807.56/49,413.06 = 19,893.01/x
  3. Step 3: Cross multiply
    35,807.56x = 49,413.06 × 19,893.01
  4. Step 4: Simplify right side
    35,807.56x = 982,974,496.71
  5. Step 5: Solve for x
    x = 982,974,496.71/35,807.56
  6. Step 6: Final answer
    x = 27,451.59

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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.