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Finding the Fourth Proportional to 50,556.90, 69,782.40 and 29,343

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Solution

The fourth proportional to 50,556.90, 69,782.40 and 29,343 is: 40,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,556.90 : 69,782.40 = 29,343 : x
  2. Step 2: Convert to fraction form
    50,556.90/69,782.40 = 29,343/x
  3. Step 3: Cross multiply
    50,556.90x = 69,782.40 × 29,343
  4. Step 4: Simplify right side
    50,556.90x = 2,047,624,963.20
  5. Step 5: Solve for x
    x = 2,047,624,963.20/50,556.90
  6. Step 6: Final answer
    x = 40,501.39

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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.