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Finding the Fourth Proportional to 34,326, 51,494.56 and 10,627.98

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Solution

The fourth proportional to 34,326, 51,494.56 and 10,627.98 is: 15,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,326 : 51,494.56 = 10,627.98 : x
  2. Step 2: Convert to fraction form
    34,326/51,494.56 = 10,627.98/x
  3. Step 3: Cross multiply
    34,326x = 51,494.56 × 10,627.98
  4. Step 4: Simplify right side
    34,326x = 547,282,934.11
  5. Step 5: Solve for x
    x = 547,282,934.11/34,326
  6. Step 6: Final answer
    x = 15,943.69

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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.