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Finding the Fourth Proportional to 32,407.90, 48,611.34 and 19,761.37

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Solution

The fourth proportional to 32,407.90, 48,611.34 and 19,761.37 is: 29,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.90 : 48,611.34 = 19,761.37 : x
  2. Step 2: Convert to fraction form
    32,407.90/48,611.34 = 19,761.37/x
  3. Step 3: Cross multiply
    32,407.90x = 48,611.34 × 19,761.37
  4. Step 4: Simplify right side
    32,407.90x = 960,626,554.41
  5. Step 5: Solve for x
    x = 960,626,554.41/32,407.90
  6. Step 6: Final answer
    x = 29,641.74

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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.