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Finding the Fourth Proportional to 54,750.10, 82,125.15 and 17,814.10

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Solution

The fourth proportional to 54,750.10, 82,125.15 and 17,814.10 is: 26,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,750.10 : 82,125.15 = 17,814.10 : x
  2. Step 2: Convert to fraction form
    54,750.10/82,125.15 = 17,814.10/x
  3. Step 3: Cross multiply
    54,750.10x = 82,125.15 × 17,814.10
  4. Step 4: Simplify right side
    54,750.10x = 1,462,985,634.62
  5. Step 5: Solve for x
    x = 1,462,985,634.62/54,750.10
  6. Step 6: Final answer
    x = 26,721.15

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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.