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Finding the Fourth Proportional to 32,012.41, 48,008.23 and 10,659.42

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Solution

The fourth proportional to 32,012.41, 48,008.23 and 10,659.42 is: 15,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.41 : 48,008.23 = 10,659.42 : x
  2. Step 2: Convert to fraction form
    32,012.41/48,008.23 = 10,659.42/x
  3. Step 3: Cross multiply
    32,012.41x = 48,008.23 × 10,659.42
  4. Step 4: Simplify right side
    32,012.41x = 511,739,833.73
  5. Step 5: Solve for x
    x = 511,739,833.73/32,012.41
  6. Step 6: Final answer
    x = 15,985.67

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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.