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Finding the Fourth Proportional to 97,884.75, 135,069.50 and 57,589.65

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Solution

The fourth proportional to 97,884.75, 135,069.50 and 57,589.65 is: 79,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884.75 : 135,069.50 = 57,589.65 : x
  2. Step 2: Convert to fraction form
    97,884.75/135,069.50 = 57,589.65/x
  3. Step 3: Cross multiply
    97,884.75x = 135,069.50 × 57,589.65
  4. Step 4: Simplify right side
    97,884.75x = 7,778,604,942.73
  5. Step 5: Solve for x
    x = 7,778,604,942.73/97,884.75
  6. Step 6: Final answer
    x = 79,466.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.