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Finding the Fourth Proportional to 58,980.22, 81,391.89 and 33,829.18

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Solution

The fourth proportional to 58,980.22, 81,391.89 and 33,829.18 is: 46,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,980.22 : 81,391.89 = 33,829.18 : x
  2. Step 2: Convert to fraction form
    58,980.22/81,391.89 = 33,829.18/x
  3. Step 3: Cross multiply
    58,980.22x = 81,391.89 × 33,829.18
  4. Step 4: Simplify right side
    58,980.22x = 2,753,420,897.35
  5. Step 5: Solve for x
    x = 2,753,420,897.35/58,980.22
  6. Step 6: Final answer
    x = 46,683.80

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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.