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Finding the Fourth Proportional to 34,058.36, 51,085.46 and 12,706.97

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Solution

The fourth proportional to 34,058.36, 51,085.46 and 12,706.97 is: 19,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058.36 : 51,085.46 = 12,706.97 : x
  2. Step 2: Convert to fraction form
    34,058.36/51,085.46 = 12,706.97/x
  3. Step 3: Cross multiply
    34,058.36x = 51,085.46 × 12,706.97
  4. Step 4: Simplify right side
    34,058.36x = 649,141,088.69
  5. Step 5: Solve for x
    x = 649,141,088.69/34,058.36
  6. Step 6: Final answer
    x = 19,059.67

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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.