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Finding the Fourth Proportional to 39,202.80, 58,813.92 and 11,500.80

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Solution

The fourth proportional to 39,202.80, 58,813.92 and 11,500.80 is: 17,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202.80 : 58,813.92 = 11,500.80 : x
  2. Step 2: Convert to fraction form
    39,202.80/58,813.92 = 11,500.80/x
  3. Step 3: Cross multiply
    39,202.80x = 58,813.92 × 11,500.80
  4. Step 4: Simplify right side
    39,202.80x = 676,407,131.14
  5. Step 5: Solve for x
    x = 676,407,131.14/39,202.80
  6. Step 6: Final answer
    x = 17,254.05

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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.