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Finding the Fourth Proportional to 37,648.70, 51,990.35 and 24,243.30

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Solution

The fourth proportional to 37,648.70, 51,990.35 and 24,243.30 is: 33,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.70 : 51,990.35 = 24,243.30 : x
  2. Step 2: Convert to fraction form
    37,648.70/51,990.35 = 24,243.30/x
  3. Step 3: Cross multiply
    37,648.70x = 51,990.35 × 24,243.30
  4. Step 4: Simplify right side
    37,648.70x = 1,260,417,652.16
  5. Step 5: Solve for x
    x = 1,260,417,652.16/37,648.70
  6. Step 6: Final answer
    x = 33,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.