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Finding the Fourth Proportional to 57,688.10, 86,523.15 and 18,254.90

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Solution

The fourth proportional to 57,688.10, 86,523.15 and 18,254.90 is: 27,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688.10 : 86,523.15 = 18,254.90 : x
  2. Step 2: Convert to fraction form
    57,688.10/86,523.15 = 18,254.90/x
  3. Step 3: Cross multiply
    57,688.10x = 86,523.15 × 18,254.90
  4. Step 4: Simplify right side
    57,688.10x = 1,579,471,450.94
  5. Step 5: Solve for x
    x = 1,579,471,450.94/57,688.10
  6. Step 6: Final answer
    x = 27,379.50

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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.