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Finding the Fourth Proportional to 42,220.72, 63,334.74 and 11,056

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Solution

The fourth proportional to 42,220.72, 63,334.74 and 11,056 is: 16,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,220.72 : 63,334.74 = 11,056 : x
  2. Step 2: Convert to fraction form
    42,220.72/63,334.74 = 11,056/x
  3. Step 3: Cross multiply
    42,220.72x = 63,334.74 × 11,056
  4. Step 4: Simplify right side
    42,220.72x = 700,228,885.44
  5. Step 5: Solve for x
    x = 700,228,885.44/42,220.72
  6. Step 6: Final answer
    x = 16,584.96

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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.