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Finding the Fourth Proportional to 33,503.67, 50,262.80 and 10,129.50

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Solution

The fourth proportional to 33,503.67, 50,262.80 and 10,129.50 is: 15,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503.67 : 50,262.80 = 10,129.50 : x
  2. Step 2: Convert to fraction form
    33,503.67/50,262.80 = 10,129.50/x
  3. Step 3: Cross multiply
    33,503.67x = 50,262.80 × 10,129.50
  4. Step 4: Simplify right side
    33,503.67x = 509,137,032.60
  5. Step 5: Solve for x
    x = 509,137,032.60/33,503.67
  6. Step 6: Final answer
    x = 15,196.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.