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Finding the Fourth Proportional to 34,204.95, 51,313.10 and 12,012.57

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Solution

The fourth proportional to 34,204.95, 51,313.10 and 12,012.57 is: 18,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.95 : 51,313.10 = 12,012.57 : x
  2. Step 2: Convert to fraction form
    34,204.95/51,313.10 = 12,012.57/x
  3. Step 3: Cross multiply
    34,204.95x = 51,313.10 × 12,012.57
  4. Step 4: Simplify right side
    34,204.95x = 616,402,145.60
  5. Step 5: Solve for x
    x = 616,402,145.60/34,204.95
  6. Step 6: Final answer
    x = 18,020.85

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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.