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Finding the Fourth Proportional to 37,773, 56,644.38 and 11,472.84

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Solution

The fourth proportional to 37,773, 56,644.38 and 11,472.84 is: 17,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,773 : 56,644.38 = 11,472.84 : x
  2. Step 2: Convert to fraction form
    37,773/56,644.38 = 11,472.84/x
  3. Step 3: Cross multiply
    37,773x = 56,644.38 × 11,472.84
  4. Step 4: Simplify right side
    37,773x = 649,871,908.64
  5. Step 5: Solve for x
    x = 649,871,908.64/37,773
  6. Step 6: Final answer
    x = 17,204.67

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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.