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Finding the Fourth Proportional to 104,493.76, 156,748.16 and 51,850.24

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Solution

The fourth proportional to 104,493.76, 156,748.16 and 51,850.24 is: 77,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,493.76 : 156,748.16 = 51,850.24 : x
  2. Step 2: Convert to fraction form
    104,493.76/156,748.16 = 51,850.24/x
  3. Step 3: Cross multiply
    104,493.76x = 156,748.16 × 51,850.24
  4. Step 4: Simplify right side
    104,493.76x = 8,127,429,715.56
  5. Step 5: Solve for x
    x = 8,127,429,715.56/104,493.76
  6. Step 6: Final answer
    x = 77,779.09

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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.