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Finding the Fourth Proportional to 34,611, 51,928.53 and 10,922.19

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Solution

The fourth proportional to 34,611, 51,928.53 and 10,922.19 is: 16,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611 : 51,928.53 = 10,922.19 : x
  2. Step 2: Convert to fraction form
    34,611/51,928.53 = 10,922.19/x
  3. Step 3: Cross multiply
    34,611x = 51,928.53 × 10,922.19
  4. Step 4: Simplify right side
    34,611x = 567,173,271.08
  5. Step 5: Solve for x
    x = 567,173,271.08/34,611
  6. Step 6: Final answer
    x = 16,387.08

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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.