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Finding the Fourth Proportional to 114,978.27, 172,467.45 and 51,724.51

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Solution

The fourth proportional to 114,978.27, 172,467.45 and 51,724.51 is: 77,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978.27 : 172,467.45 = 51,724.51 : x
  2. Step 2: Convert to fraction form
    114,978.27/172,467.45 = 51,724.51/x
  3. Step 3: Cross multiply
    114,978.27x = 172,467.45 × 51,724.51
  4. Step 4: Simplify right side
    114,978.27x = 8,920,794,342.20
  5. Step 5: Solve for x
    x = 8,920,794,342.20/114,978.27
  6. Step 6: Final answer
    x = 77,586.79

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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.