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Finding the Fourth Proportional to 114,978.08, 172,494.89 and 36,092.31

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Solution

The fourth proportional to 114,978.08, 172,494.89 and 36,092.31 is: 54,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978.08 : 172,494.89 = 36,092.31 : x
  2. Step 2: Convert to fraction form
    114,978.08/172,494.89 = 36,092.31/x
  3. Step 3: Cross multiply
    114,978.08x = 172,494.89 × 36,092.31
  4. Step 4: Simplify right side
    114,978.08x = 6,225,738,937.98
  5. Step 5: Solve for x
    x = 6,225,738,937.98/114,978.08
  6. Step 6: Final answer
    x = 54,147.18

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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.