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Finding the Fourth Proportional to 35,678.88, 49,237.27 and 19,546.62

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Solution

The fourth proportional to 35,678.88, 49,237.27 and 19,546.62 is: 26,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.88 : 49,237.27 = 19,546.62 : x
  2. Step 2: Convert to fraction form
    35,678.88/49,237.27 = 19,546.62/x
  3. Step 3: Cross multiply
    35,678.88x = 49,237.27 × 19,546.62
  4. Step 4: Simplify right side
    35,678.88x = 962,421,973.02
  5. Step 5: Solve for x
    x = 962,421,973.02/35,678.88
  6. Step 6: Final answer
    x = 26,974.56

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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.