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Finding the Fourth Proportional to 34,769, 51,706.22 and 33,661.87

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Solution

The fourth proportional to 34,769, 51,706.22 and 33,661.87 is: 50,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 51,706.22 = 33,661.87 : x
  2. Step 2: Convert to fraction form
    34,769/51,706.22 = 33,661.87/x
  3. Step 3: Cross multiply
    34,769x = 51,706.22 × 33,661.87
  4. Step 4: Simplify right side
    34,769x = 1,740,528,055.83
  5. Step 5: Solve for x
    x = 1,740,528,055.83/34,769
  6. Step 6: Final answer
    x = 50,059.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.