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Finding the Fourth Proportional to 57,827.86, 79,805.50 and 35,163.10

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Solution

The fourth proportional to 57,827.86, 79,805.50 and 35,163.10 is: 48,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,827.86 : 79,805.50 = 35,163.10 : x
  2. Step 2: Convert to fraction form
    57,827.86/79,805.50 = 35,163.10/x
  3. Step 3: Cross multiply
    57,827.86x = 79,805.50 × 35,163.10
  4. Step 4: Simplify right side
    57,827.86x = 2,806,208,777.05
  5. Step 5: Solve for x
    x = 2,806,208,777.05/57,827.86
  6. Step 6: Final answer
    x = 48,526.93

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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.