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Finding the Fourth Proportional to 34,476.85, 51,709.11 and 9,176.50

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Solution

The fourth proportional to 34,476.85, 51,709.11 and 9,176.50 is: 13,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476.85 : 51,709.11 = 9,176.50 : x
  2. Step 2: Convert to fraction form
    34,476.85/51,709.11 = 9,176.50/x
  3. Step 3: Cross multiply
    34,476.85x = 51,709.11 × 9,176.50
  4. Step 4: Simplify right side
    34,476.85x = 474,508,647.92
  5. Step 5: Solve for x
    x = 474,508,647.92/34,476.85
  6. Step 6: Final answer
    x = 13,763.11

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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.