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Finding the Fourth Proportional to 37,398, 56,014.58 and 30,912.96

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Solution

The fourth proportional to 37,398, 56,014.58 and 30,912.96 is: 46,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398 : 56,014.58 = 30,912.96 : x
  2. Step 2: Convert to fraction form
    37,398/56,014.58 = 30,912.96/x
  3. Step 3: Cross multiply
    37,398x = 56,014.58 × 30,912.96
  4. Step 4: Simplify right side
    37,398x = 1,731,576,470.96
  5. Step 5: Solve for x
    x = 1,731,576,470.96/37,398
  6. Step 6: Final answer
    x = 46,301.31

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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.