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Finding the Fourth Proportional to 34,117.50, 51,166.38 and 11,627.67

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Solution

The fourth proportional to 34,117.50, 51,166.38 and 11,627.67 is: 17,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,117.50 : 51,166.38 = 11,627.67 : x
  2. Step 2: Convert to fraction form
    34,117.50/51,166.38 = 11,627.67/x
  3. Step 3: Cross multiply
    34,117.50x = 51,166.38 × 11,627.67
  4. Step 4: Simplify right side
    34,117.50x = 594,946,017.21
  5. Step 5: Solve for x
    x = 594,946,017.21/34,117.50
  6. Step 6: Final answer
    x = 17,438.15

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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.