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Finding the Fourth Proportional to 50,798.72, 76,314.88 and 35,840.26

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Solution

The fourth proportional to 50,798.72, 76,314.88 and 35,840.26 is: 53,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,798.72 : 76,314.88 = 35,840.26 : x
  2. Step 2: Convert to fraction form
    50,798.72/76,314.88 = 35,840.26/x
  3. Step 3: Cross multiply
    50,798.72x = 76,314.88 × 35,840.26
  4. Step 4: Simplify right side
    50,798.72x = 2,735,145,141.07
  5. Step 5: Solve for x
    x = 2,735,145,141.07/50,798.72
  6. Step 6: Final answer
    x = 53,842.80

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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.