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Finding the Fourth Proportional to 34,776.50, 52,174.83 and 10,152.50

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Solution

The fourth proportional to 34,776.50, 52,174.83 and 10,152.50 is: 15,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776.50 : 52,174.83 = 10,152.50 : x
  2. Step 2: Convert to fraction form
    34,776.50/52,174.83 = 10,152.50/x
  3. Step 3: Cross multiply
    34,776.50x = 52,174.83 × 10,152.50
  4. Step 4: Simplify right side
    34,776.50x = 529,704,961.58
  5. Step 5: Solve for x
    x = 529,704,961.58/34,776.50
  6. Step 6: Final answer
    x = 15,231.69

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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.