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Finding the Fourth Proportional to 51,394.96, 77,092.04 and 26,442

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Solution

The fourth proportional to 51,394.96, 77,092.04 and 26,442 is: 39,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.96 : 77,092.04 = 26,442 : x
  2. Step 2: Convert to fraction form
    51,394.96/77,092.04 = 26,442/x
  3. Step 3: Cross multiply
    51,394.96x = 77,092.04 × 26,442
  4. Step 4: Simplify right side
    51,394.96x = 2,038,467,721.68
  5. Step 5: Solve for x
    x = 2,038,467,721.68/51,394.96
  6. Step 6: Final answer
    x = 39,662.79

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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.