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Finding the Fourth Proportional to 57,334.32, 85,986.90 and 22,254.84

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Solution

The fourth proportional to 57,334.32, 85,986.90 and 22,254.84 is: 33,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,334.32 : 85,986.90 = 22,254.84 : x
  2. Step 2: Convert to fraction form
    57,334.32/85,986.90 = 22,254.84/x
  3. Step 3: Cross multiply
    57,334.32x = 85,986.90 × 22,254.84
  4. Step 4: Simplify right side
    57,334.32x = 1,913,624,701.60
  5. Step 5: Solve for x
    x = 1,913,624,701.60/57,334.32
  6. Step 6: Final answer
    x = 33,376.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.