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Finding the Fourth Proportional to 61,425, 92,150.46 and 24,489

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Solution

The fourth proportional to 61,425, 92,150.46 and 24,489 is: 36,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,425 : 92,150.46 = 24,489 : x
  2. Step 2: Convert to fraction form
    61,425/92,150.46 = 24,489/x
  3. Step 3: Cross multiply
    61,425x = 92,150.46 × 24,489
  4. Step 4: Simplify right side
    61,425x = 2,256,672,614.94
  5. Step 5: Solve for x
    x = 2,256,672,614.94/61,425
  6. Step 6: Final answer
    x = 36,738.67

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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.