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Finding the Fourth Proportional to 32,419.50, 44,738.91 and 17,515.50

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Solution

The fourth proportional to 32,419.50, 44,738.91 and 17,515.50 is: 24,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.50 : 44,738.91 = 17,515.50 : x
  2. Step 2: Convert to fraction form
    32,419.50/44,738.91 = 17,515.50/x
  3. Step 3: Cross multiply
    32,419.50x = 44,738.91 × 17,515.50
  4. Step 4: Simplify right side
    32,419.50x = 783,624,378.11
  5. Step 5: Solve for x
    x = 783,624,378.11/32,419.50
  6. Step 6: Final answer
    x = 24,171.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.