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Finding the Fourth Proportional to 39,765.50, 59,648.21 and 11,686.24

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Solution

The fourth proportional to 39,765.50, 59,648.21 and 11,686.24 is: 17,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765.50 : 59,648.21 = 11,686.24 : x
  2. Step 2: Convert to fraction form
    39,765.50/59,648.21 = 11,686.24/x
  3. Step 3: Cross multiply
    39,765.50x = 59,648.21 × 11,686.24
  4. Step 4: Simplify right side
    39,765.50x = 697,062,940.96
  5. Step 5: Solve for x
    x = 697,062,940.96/39,765.50
  6. Step 6: Final answer
    x = 17,529.34

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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.