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Finding the Fourth Proportional to 32,635.41, 48,950.53 and 10,442.82

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Solution

The fourth proportional to 32,635.41, 48,950.53 and 10,442.82 is: 15,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635.41 : 48,950.53 = 10,442.82 : x
  2. Step 2: Convert to fraction form
    32,635.41/48,950.53 = 10,442.82/x
  3. Step 3: Cross multiply
    32,635.41x = 48,950.53 × 10,442.82
  4. Step 4: Simplify right side
    32,635.41x = 511,181,731.15
  5. Step 5: Solve for x
    x = 511,181,731.15/32,635.41
  6. Step 6: Final answer
    x = 15,663.41

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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.