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Finding the Fourth Proportional to 54,824.40, 82,239.03 and 15,380.64

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Solution

The fourth proportional to 54,824.40, 82,239.03 and 15,380.64 is: 23,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,824.40 : 82,239.03 = 15,380.64 : x
  2. Step 2: Convert to fraction form
    54,824.40/82,239.03 = 15,380.64/x
  3. Step 3: Cross multiply
    54,824.40x = 82,239.03 × 15,380.64
  4. Step 4: Simplify right side
    54,824.40x = 1,264,888,914.38
  5. Step 5: Solve for x
    x = 1,264,888,914.38/54,824.40
  6. Step 6: Final answer
    x = 23,071.64

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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.