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Finding the Fourth Proportional to 34,196, 51,295.92 and 9,573.92

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Solution

The fourth proportional to 34,196, 51,295.92 and 9,573.92 is: 14,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196 : 51,295.92 = 9,573.92 : x
  2. Step 2: Convert to fraction form
    34,196/51,295.92 = 9,573.92/x
  3. Step 3: Cross multiply
    34,196x = 51,295.92 × 9,573.92
  4. Step 4: Simplify right side
    34,196x = 491,103,034.41
  5. Step 5: Solve for x
    x = 491,103,034.41/34,196
  6. Step 6: Final answer
    x = 14,361.42

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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.