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Finding the Fourth Proportional to 32,938.88, 49,408.32 and 11,066.24

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Solution

The fourth proportional to 32,938.88, 49,408.32 and 11,066.24 is: 16,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.88 : 49,408.32 = 11,066.24 : x
  2. Step 2: Convert to fraction form
    32,938.88/49,408.32 = 11,066.24/x
  3. Step 3: Cross multiply
    32,938.88x = 49,408.32 × 11,066.24
  4. Step 4: Simplify right side
    32,938.88x = 546,764,327.12
  5. Step 5: Solve for x
    x = 546,764,327.12/32,938.88
  6. Step 6: Final answer
    x = 16,599.36

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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.