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Finding the Fourth Proportional to 35,709.66, 49,277.40 and 20,601.42

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Solution

The fourth proportional to 35,709.66, 49,277.40 and 20,601.42 is: 28,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.66 : 49,277.40 = 20,601.42 : x
  2. Step 2: Convert to fraction form
    35,709.66/49,277.40 = 20,601.42/x
  3. Step 3: Cross multiply
    35,709.66x = 49,277.40 × 20,601.42
  4. Step 4: Simplify right side
    35,709.66x = 1,015,184,413.91
  5. Step 5: Solve for x
    x = 1,015,184,413.91/35,709.66
  6. Step 6: Final answer
    x = 28,428.85

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