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Finding the Fourth Proportional to 71,027.56, 106,541.34 and 24,280.84

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Solution

The fourth proportional to 71,027.56, 106,541.34 and 24,280.84 is: 36,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.56 : 106,541.34 = 24,280.84 : x
  2. Step 2: Convert to fraction form
    71,027.56/106,541.34 = 24,280.84/x
  3. Step 3: Cross multiply
    71,027.56x = 106,541.34 × 24,280.84
  4. Step 4: Simplify right side
    71,027.56x = 2,586,913,229.93
  5. Step 5: Solve for x
    x = 2,586,913,229.93/71,027.56
  6. Step 6: Final answer
    x = 36,421.26

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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.