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Finding the Fourth Proportional to 54,854.50, 82,282.02 and 13,301.50

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Solution

The fourth proportional to 54,854.50, 82,282.02 and 13,301.50 is: 19,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.50 : 82,282.02 = 13,301.50 : x
  2. Step 2: Convert to fraction form
    54,854.50/82,282.02 = 13,301.50/x
  3. Step 3: Cross multiply
    54,854.50x = 82,282.02 × 13,301.50
  4. Step 4: Simplify right side
    54,854.50x = 1,094,474,289.03
  5. Step 5: Solve for x
    x = 1,094,474,289.03/54,854.50
  6. Step 6: Final answer
    x = 19,952.32

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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.