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Finding the Fourth Proportional to 38,563.61, 57,851.89 and 12,276.41

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Solution

The fourth proportional to 38,563.61, 57,851.89 and 12,276.41 is: 18,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563.61 : 57,851.89 = 12,276.41 : x
  2. Step 2: Convert to fraction form
    38,563.61/57,851.89 = 12,276.41/x
  3. Step 3: Cross multiply
    38,563.61x = 57,851.89 × 12,276.41
  4. Step 4: Simplify right side
    38,563.61x = 710,213,200.96
  5. Step 5: Solve for x
    x = 710,213,200.96/38,563.61
  6. Step 6: Final answer
    x = 18,416.67

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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.