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Finding the Fourth Proportional to 35,703.56, 49,265.34 and 20,596.80

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Solution

The fourth proportional to 35,703.56, 49,265.34 and 20,596.80 is: 28,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703.56 : 49,265.34 = 20,596.80 : x
  2. Step 2: Convert to fraction form
    35,703.56/49,265.34 = 20,596.80/x
  3. Step 3: Cross multiply
    35,703.56x = 49,265.34 × 20,596.80
  4. Step 4: Simplify right side
    35,703.56x = 1,014,708,354.91
  5. Step 5: Solve for x
    x = 1,014,708,354.91/35,703.56
  6. Step 6: Final answer
    x = 28,420.37

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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.