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Finding the Fourth Proportional to 34,124.58, 51,186.87 and 13,333.50

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Solution

The fourth proportional to 34,124.58, 51,186.87 and 13,333.50 is: 20,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,124.58 : 51,186.87 = 13,333.50 : x
  2. Step 2: Convert to fraction form
    34,124.58/51,186.87 = 13,333.50/x
  3. Step 3: Cross multiply
    34,124.58x = 51,186.87 × 13,333.50
  4. Step 4: Simplify right side
    34,124.58x = 682,500,131.15
  5. Step 5: Solve for x
    x = 682,500,131.15/34,124.58
  6. Step 6: Final answer
    x = 20,000.25

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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.