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Finding the Fourth Proportional to 54,815.80, 82,209.42 and 23,209.60

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Solution

The fourth proportional to 54,815.80, 82,209.42 and 23,209.60 is: 34,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815.80 : 82,209.42 = 23,209.60 : x
  2. Step 2: Convert to fraction form
    54,815.80/82,209.42 = 23,209.60/x
  3. Step 3: Cross multiply
    54,815.80x = 82,209.42 × 23,209.60
  4. Step 4: Simplify right side
    54,815.80x = 1,908,047,754.43
  5. Step 5: Solve for x
    x = 1,908,047,754.43/54,815.80
  6. Step 6: Final answer
    x = 34,808.35

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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.