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Finding the Fourth Proportional to 34,491.93, 51,709.68 and 17,856.72

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Solution

The fourth proportional to 34,491.93, 51,709.68 and 17,856.72 is: 26,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.93 : 51,709.68 = 17,856.72 : x
  2. Step 2: Convert to fraction form
    34,491.93/51,709.68 = 17,856.72/x
  3. Step 3: Cross multiply
    34,491.93x = 51,709.68 × 17,856.72
  4. Step 4: Simplify right side
    34,491.93x = 923,365,018.50
  5. Step 5: Solve for x
    x = 923,365,018.50/34,491.93
  6. Step 6: Final answer
    x = 26,770.46

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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.