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Finding the Fourth Proportional to 38,471.70, 57,664.35 and 16,281.30

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Solution

The fourth proportional to 38,471.70, 57,664.35 and 16,281.30 is: 24,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.70 : 57,664.35 = 16,281.30 : x
  2. Step 2: Convert to fraction form
    38,471.70/57,664.35 = 16,281.30/x
  3. Step 3: Cross multiply
    38,471.70x = 57,664.35 × 16,281.30
  4. Step 4: Simplify right side
    38,471.70x = 938,850,581.66
  5. Step 5: Solve for x
    x = 938,850,581.66/38,471.70
  6. Step 6: Final answer
    x = 24,403.67

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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.