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Finding the Fourth Proportional to 70,410.80, 105,421.80 and 54,858.80

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Solution

The fourth proportional to 70,410.80, 105,421.80 and 54,858.80 is: 82,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410.80 : 105,421.80 = 54,858.80 : x
  2. Step 2: Convert to fraction form
    70,410.80/105,421.80 = 54,858.80/x
  3. Step 3: Cross multiply
    70,410.80x = 105,421.80 × 54,858.80
  4. Step 4: Simplify right side
    70,410.80x = 5,783,313,441.84
  5. Step 5: Solve for x
    x = 5,783,313,441.84/70,410.80
  6. Step 6: Final answer
    x = 82,136.74

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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.