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Finding the Fourth Proportional to 32,634.84, 48,951 and 10,447.59

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Solution

The fourth proportional to 32,634.84, 48,951 and 10,447.59 is: 15,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,634.84 : 48,951 = 10,447.59 : x
  2. Step 2: Convert to fraction form
    32,634.84/48,951 = 10,447.59/x
  3. Step 3: Cross multiply
    32,634.84x = 48,951 × 10,447.59
  4. Step 4: Simplify right side
    32,634.84x = 511,419,978.09
  5. Step 5: Solve for x
    x = 511,419,978.09/32,634.84
  6. Step 6: Final answer
    x = 15,670.98

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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.