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Finding the Fourth Proportional to 82,909.44, 124,323.84 and 30,283.20

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Solution

The fourth proportional to 82,909.44, 124,323.84 and 30,283.20 is: 45,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,909.44 : 124,323.84 = 30,283.20 : x
  2. Step 2: Convert to fraction form
    82,909.44/124,323.84 = 30,283.20/x
  3. Step 3: Cross multiply
    82,909.44x = 124,323.84 × 30,283.20
  4. Step 4: Simplify right side
    82,909.44x = 3,764,923,711.49
  5. Step 5: Solve for x
    x = 3,764,923,711.49/82,909.44
  6. Step 6: Final answer
    x = 45,410.07

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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.