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Finding the Fourth Proportional to 70,984.80, 106,493.40 and 24,237

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Solution

The fourth proportional to 70,984.80, 106,493.40 and 24,237 is: 36,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,984.80 : 106,493.40 = 24,237 : x
  2. Step 2: Convert to fraction form
    70,984.80/106,493.40 = 24,237/x
  3. Step 3: Cross multiply
    70,984.80x = 106,493.40 × 24,237
  4. Step 4: Simplify right side
    70,984.80x = 2,581,080,535.80
  5. Step 5: Solve for x
    x = 2,581,080,535.80/70,984.80
  6. Step 6: Final answer
    x = 36,361.03

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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.