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Finding the Fourth Proportional to 92,490.26, 127,642.37 and 52,189.38

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Solution

The fourth proportional to 92,490.26, 127,642.37 and 52,189.38 is: 72,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,490.26 : 127,642.37 = 52,189.38 : x
  2. Step 2: Convert to fraction form
    92,490.26/127,642.37 = 52,189.38/x
  3. Step 3: Cross multiply
    92,490.26x = 127,642.37 × 52,189.38
  4. Step 4: Simplify right side
    92,490.26x = 6,661,575,891.08
  5. Step 5: Solve for x
    x = 6,661,575,891.08/92,490.26
  6. Step 6: Final answer
    x = 72,024.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.