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Finding the Fourth Proportional to 34,295.62, 51,444.51 and 11,806.06

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Solution

The fourth proportional to 34,295.62, 51,444.51 and 11,806.06 is: 17,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,295.62 : 51,444.51 = 11,806.06 : x
  2. Step 2: Convert to fraction form
    34,295.62/51,444.51 = 11,806.06/x
  3. Step 3: Cross multiply
    34,295.62x = 51,444.51 × 11,806.06
  4. Step 4: Simplify right side
    34,295.62x = 607,356,971.73
  5. Step 5: Solve for x
    x = 607,356,971.73/34,295.62
  6. Step 6: Final answer
    x = 17,709.46

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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.