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Finding the Fourth Proportional to 34,462.60, 51,629.10 and 17,765.80

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Solution

The fourth proportional to 34,462.60, 51,629.10 and 17,765.80 is: 26,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,462.60 : 51,629.10 = 17,765.80 : x
  2. Step 2: Convert to fraction form
    34,462.60/51,629.10 = 17,765.80/x
  3. Step 3: Cross multiply
    34,462.60x = 51,629.10 × 17,765.80
  4. Step 4: Simplify right side
    34,462.60x = 917,232,264.78
  5. Step 5: Solve for x
    x = 917,232,264.78/34,462.60
  6. Step 6: Final answer
    x = 26,615.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.