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Finding the Fourth Proportional to 35,378.98, 48,822.80 and 20,271.87

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Solution

The fourth proportional to 35,378.98, 48,822.80 and 20,271.87 is: 27,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.98 : 48,822.80 = 20,271.87 : x
  2. Step 2: Convert to fraction form
    35,378.98/48,822.80 = 20,271.87/x
  3. Step 3: Cross multiply
    35,378.98x = 48,822.80 × 20,271.87
  4. Step 4: Simplify right side
    35,378.98x = 989,729,467.31
  5. Step 5: Solve for x
    x = 989,729,467.31/35,378.98
  6. Step 6: Final answer
    x = 27,975.07

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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.