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Finding the Fourth Proportional to 34,595.79, 51,893.74 and 9,635.91

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Solution

The fourth proportional to 34,595.79, 51,893.74 and 9,635.91 is: 14,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,595.79 : 51,893.74 = 9,635.91 : x
  2. Step 2: Convert to fraction form
    34,595.79/51,893.74 = 9,635.91/x
  3. Step 3: Cross multiply
    34,595.79x = 51,893.74 × 9,635.91
  4. Step 4: Simplify right side
    34,595.79x = 500,043,408.20
  5. Step 5: Solve for x
    x = 500,043,408.20/34,595.79
  6. Step 6: Final answer
    x = 14,453.88

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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.