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Finding the Fourth Proportional to 34,395.66, 51,584.82 and 13,328.46

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Solution

The fourth proportional to 34,395.66, 51,584.82 and 13,328.46 is: 19,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,395.66 : 51,584.82 = 13,328.46 : x
  2. Step 2: Convert to fraction form
    34,395.66/51,584.82 = 13,328.46/x
  3. Step 3: Cross multiply
    34,395.66x = 51,584.82 × 13,328.46
  4. Step 4: Simplify right side
    34,395.66x = 687,546,209.98
  5. Step 5: Solve for x
    x = 687,546,209.98/34,395.66
  6. Step 6: Final answer
    x = 19,989.33

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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.