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Finding the Fourth Proportional to 51,583.96, 77,374.86 and 16,520.68

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Solution

The fourth proportional to 51,583.96, 77,374.86 and 16,520.68 is: 24,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.96 : 77,374.86 = 16,520.68 : x
  2. Step 2: Convert to fraction form
    51,583.96/77,374.86 = 16,520.68/x
  3. Step 3: Cross multiply
    51,583.96x = 77,374.86 × 16,520.68
  4. Step 4: Simplify right side
    51,583.96x = 1,278,285,302.10
  5. Step 5: Solve for x
    x = 1,278,285,302.10/51,583.96
  6. Step 6: Final answer
    x = 24,780.67

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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.