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Finding the Fourth Proportional to 37,749.70, 56,624.34 and 9,669.70

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Solution

The fourth proportional to 37,749.70, 56,624.34 and 9,669.70 is: 14,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,749.70 : 56,624.34 = 9,669.70 : x
  2. Step 2: Convert to fraction form
    37,749.70/56,624.34 = 9,669.70/x
  3. Step 3: Cross multiply
    37,749.70x = 56,624.34 × 9,669.70
  4. Step 4: Simplify right side
    37,749.70x = 547,540,380.50
  5. Step 5: Solve for x
    x = 547,540,380.50/37,749.70
  6. Step 6: Final answer
    x = 14,504.50

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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.