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Finding the Fourth Proportional to 33,442.96, 50,167.10 and 11,256.16

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Solution

The fourth proportional to 33,442.96, 50,167.10 and 11,256.16 is: 16,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442.96 : 50,167.10 = 11,256.16 : x
  2. Step 2: Convert to fraction form
    33,442.96/50,167.10 = 11,256.16/x
  3. Step 3: Cross multiply
    33,442.96x = 50,167.10 × 11,256.16
  4. Step 4: Simplify right side
    33,442.96x = 564,688,904.34
  5. Step 5: Solve for x
    x = 564,688,904.34/33,442.96
  6. Step 6: Final answer
    x = 16,885.14

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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.