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Finding the Fourth Proportional to 50,403.86, 69,548.65 and 30,271.84

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Solution

The fourth proportional to 50,403.86, 69,548.65 and 30,271.84 is: 41,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,403.86 : 69,548.65 = 30,271.84 : x
  2. Step 2: Convert to fraction form
    50,403.86/69,548.65 = 30,271.84/x
  3. Step 3: Cross multiply
    50,403.86x = 69,548.65 × 30,271.84
  4. Step 4: Simplify right side
    50,403.86x = 2,105,365,538.41
  5. Step 5: Solve for x
    x = 2,105,365,538.41/50,403.86
  6. Step 6: Final answer
    x = 41,769.93

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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.