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Finding the Fourth Proportional to 37,658.56, 56,489.31 and 11,363.31

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Solution

The fourth proportional to 37,658.56, 56,489.31 and 11,363.31 is: 17,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.56 : 56,489.31 = 11,363.31 : x
  2. Step 2: Convert to fraction form
    37,658.56/56,489.31 = 11,363.31/x
  3. Step 3: Cross multiply
    37,658.56x = 56,489.31 × 11,363.31
  4. Step 4: Simplify right side
    37,658.56x = 641,905,541.22
  5. Step 5: Solve for x
    x = 641,905,541.22/37,658.56
  6. Step 6: Final answer
    x = 17,045.41

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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.