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Finding the Fourth Proportional to 50,509.36, 69,701.82 and 29,290.60

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Solution

The fourth proportional to 50,509.36, 69,701.82 and 29,290.60 is: 40,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.36 : 69,701.82 = 29,290.60 : x
  2. Step 2: Convert to fraction form
    50,509.36/69,701.82 = 29,290.60/x
  3. Step 3: Cross multiply
    50,509.36x = 69,701.82 × 29,290.60
  4. Step 4: Simplify right side
    50,509.36x = 2,041,608,128.89
  5. Step 5: Solve for x
    x = 2,041,608,128.89/50,509.36
  6. Step 6: Final answer
    x = 40,420.39

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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.