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Finding the Fourth Proportional to 35,378.80, 48,823 and 19,462.84

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Solution

The fourth proportional to 35,378.80, 48,823 and 19,462.84 is: 26,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.80 : 48,823 = 19,462.84 : x
  2. Step 2: Convert to fraction form
    35,378.80/48,823 = 19,462.84/x
  3. Step 3: Cross multiply
    35,378.80x = 48,823 × 19,462.84
  4. Step 4: Simplify right side
    35,378.80x = 950,234,237.32
  5. Step 5: Solve for x
    x = 950,234,237.32/35,378.80
  6. Step 6: Final answer
    x = 26,858.86

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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.