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Finding the Fourth Proportional to 71,153.09, 98,185.37 and 39,321.91

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Solution

The fourth proportional to 71,153.09, 98,185.37 and 39,321.91 is: 54,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.09 : 98,185.37 = 39,321.91 : x
  2. Step 2: Convert to fraction form
    71,153.09/98,185.37 = 39,321.91/x
  3. Step 3: Cross multiply
    71,153.09x = 98,185.37 × 39,321.91
  4. Step 4: Simplify right side
    71,153.09x = 3,860,835,840.38
  5. Step 5: Solve for x
    x = 3,860,835,840.38/71,153.09
  6. Step 6: Final answer
    x = 54,260.98

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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.