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Finding the Fourth Proportional to 38,771.31, 58,120.03 and 12,457.58

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Solution

The fourth proportional to 38,771.31, 58,120.03 and 12,457.58 is: 18,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,771.31 : 58,120.03 = 12,457.58 : x
  2. Step 2: Convert to fraction form
    38,771.31/58,120.03 = 12,457.58/x
  3. Step 3: Cross multiply
    38,771.31x = 58,120.03 × 12,457.58
  4. Step 4: Simplify right side
    38,771.31x = 724,034,861.04
  5. Step 5: Solve for x
    x = 724,034,861.04/38,771.31
  6. Step 6: Final answer
    x = 18,674.50

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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.