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Finding the Fourth Proportional to 35,675.46, 49,232.94 and 19,544.30

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Solution

The fourth proportional to 35,675.46, 49,232.94 and 19,544.30 is: 26,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.46 : 49,232.94 = 19,544.30 : x
  2. Step 2: Convert to fraction form
    35,675.46/49,232.94 = 19,544.30/x
  3. Step 3: Cross multiply
    35,675.46x = 49,232.94 × 19,544.30
  4. Step 4: Simplify right side
    35,675.46x = 962,223,349.24
  5. Step 5: Solve for x
    x = 962,223,349.24/35,675.46
  6. Step 6: Final answer
    x = 26,971.58

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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.