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Finding the Fourth Proportional to 35,780.41, 49,379.22 and 19,865.14

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Solution

The fourth proportional to 35,780.41, 49,379.22 and 19,865.14 is: 27,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.41 : 49,379.22 = 19,865.14 : x
  2. Step 2: Convert to fraction form
    35,780.41/49,379.22 = 19,865.14/x
  3. Step 3: Cross multiply
    35,780.41x = 49,379.22 × 19,865.14
  4. Step 4: Simplify right side
    35,780.41x = 980,925,118.39
  5. Step 5: Solve for x
    x = 980,925,118.39/35,780.41
  6. Step 6: Final answer
    x = 27,415.14

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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.