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Finding the Fourth Proportional to 82,909.80, 124,390.99 and 29,600.64

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Solution

The fourth proportional to 82,909.80, 124,390.99 and 29,600.64 is: 44,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,909.80 : 124,390.99 = 29,600.64 : x
  2. Step 2: Convert to fraction form
    82,909.80/124,390.99 = 29,600.64/x
  3. Step 3: Cross multiply
    82,909.80x = 124,390.99 × 29,600.64
  4. Step 4: Simplify right side
    82,909.80x = 3,682,052,292.28
  5. Step 5: Solve for x
    x = 3,682,052,292.28/82,909.80
  6. Step 6: Final answer
    x = 44,410.34

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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.