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Finding the Fourth Proportional to 34,770, 51,707.72 and 33,662.87

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Solution

The fourth proportional to 34,770, 51,707.72 and 33,662.87 is: 50,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770 : 51,707.72 = 33,662.87 : x
  2. Step 2: Convert to fraction form
    34,770/51,707.72 = 33,662.87/x
  3. Step 3: Cross multiply
    34,770x = 51,707.72 × 33,662.87
  4. Step 4: Simplify right side
    34,770x = 1,740,629,829.50
  5. Step 5: Solve for x
    x = 1,740,629,829.50/34,770
  6. Step 6: Final answer
    x = 50,061.25

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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.