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Finding the Fourth Proportional to 39,762.68, 59,629.26 and 11,675

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Solution

The fourth proportional to 39,762.68, 59,629.26 and 11,675 is: 17,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.68 : 59,629.26 = 11,675 : x
  2. Step 2: Convert to fraction form
    39,762.68/59,629.26 = 11,675/x
  3. Step 3: Cross multiply
    39,762.68x = 59,629.26 × 11,675
  4. Step 4: Simplify right side
    39,762.68x = 696,171,610.50
  5. Step 5: Solve for x
    x = 696,171,610.50/39,762.68
  6. Step 6: Final answer
    x = 17,508.17

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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.