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Finding the Fourth Proportional to 54,877.59, 82,300.05 and 23,287.14

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Solution

The fourth proportional to 54,877.59, 82,300.05 and 23,287.14 is: 34,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.59 : 82,300.05 = 23,287.14 : x
  2. Step 2: Convert to fraction form
    54,877.59/82,300.05 = 23,287.14/x
  3. Step 3: Cross multiply
    54,877.59x = 82,300.05 × 23,287.14
  4. Step 4: Simplify right side
    54,877.59x = 1,916,532,786.36
  5. Step 5: Solve for x
    x = 1,916,532,786.36/54,877.59
  6. Step 6: Final answer
    x = 34,923.78

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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.