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Finding the Fourth Proportional to 83,893.90, 115,774.77 and 45,654.61

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Solution

The fourth proportional to 83,893.90, 115,774.77 and 45,654.61 is: 63,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.90 : 115,774.77 = 45,654.61 : x
  2. Step 2: Convert to fraction form
    83,893.90/115,774.77 = 45,654.61/x
  3. Step 3: Cross multiply
    83,893.90x = 115,774.77 × 45,654.61
  4. Step 4: Simplify right side
    83,893.90x = 5,285,651,972.19
  5. Step 5: Solve for x
    x = 5,285,651,972.19/83,893.90
  6. Step 6: Final answer
    x = 63,004.01

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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.