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Finding the Fourth Proportional to 52,007.70, 71,770.66 and 29,351.51

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Solution

The fourth proportional to 52,007.70, 71,770.66 and 29,351.51 is: 40,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.70 : 71,770.66 = 29,351.51 : x
  2. Step 2: Convert to fraction form
    52,007.70/71,770.66 = 29,351.51/x
  3. Step 3: Cross multiply
    52,007.70x = 71,770.66 × 29,351.51
  4. Step 4: Simplify right side
    52,007.70x = 2,106,577,485.31
  5. Step 5: Solve for x
    x = 2,106,577,485.31/52,007.70
  6. Step 6: Final answer
    x = 40,505.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.