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Finding the Fourth Proportional to 32,705.88, 49,060.01 and 11,647.46

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Solution

The fourth proportional to 32,705.88, 49,060.01 and 11,647.46 is: 17,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.88 : 49,060.01 = 11,647.46 : x
  2. Step 2: Convert to fraction form
    32,705.88/49,060.01 = 11,647.46/x
  3. Step 3: Cross multiply
    32,705.88x = 49,060.01 × 11,647.46
  4. Step 4: Simplify right side
    32,705.88x = 571,424,504.07
  5. Step 5: Solve for x
    x = 571,424,504.07/32,705.88
  6. Step 6: Final answer
    x = 17,471.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.