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Finding the Fourth Proportional to 87,091.53, 120,197.43 and 51,284.87

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Solution

The fourth proportional to 87,091.53, 120,197.43 and 51,284.87 is: 70,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,091.53 : 120,197.43 = 51,284.87 : x
  2. Step 2: Convert to fraction form
    87,091.53/120,197.43 = 51,284.87/x
  3. Step 3: Cross multiply
    87,091.53x = 120,197.43 × 51,284.87
  4. Step 4: Simplify right side
    87,091.53x = 6,164,309,872.38
  5. Step 5: Solve for x
    x = 6,164,309,872.38/87,091.53
  6. Step 6: Final answer
    x = 70,779.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.