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Finding the Fourth Proportional to 51,842.83, 77,805.77 and 26,890.03

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Solution

The fourth proportional to 51,842.83, 77,805.77 and 26,890.03 is: 40,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.83 : 77,805.77 = 26,890.03 : x
  2. Step 2: Convert to fraction form
    51,842.83/77,805.77 = 26,890.03/x
  3. Step 3: Cross multiply
    51,842.83x = 77,805.77 × 26,890.03
  4. Step 4: Simplify right side
    51,842.83x = 2,092,199,489.47
  5. Step 5: Solve for x
    x = 2,092,199,489.47/51,842.83
  6. Step 6: Final answer
    x = 40,356.58

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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.