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Finding the Fourth Proportional to 30,375.76, 41,918.58 and 17,800.50

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Solution

The fourth proportional to 30,375.76, 41,918.58 and 17,800.50 is: 24,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.76 : 41,918.58 = 17,800.50 : x
  2. Step 2: Convert to fraction form
    30,375.76/41,918.58 = 17,800.50/x
  3. Step 3: Cross multiply
    30,375.76x = 41,918.58 × 17,800.50
  4. Step 4: Simplify right side
    30,375.76x = 746,171,683.29
  5. Step 5: Solve for x
    x = 746,171,683.29/30,375.76
  6. Step 6: Final answer
    x = 24,564.71

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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.