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Finding the Fourth Proportional to 78,327, 108,091.26 and 44,793

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Solution

The fourth proportional to 78,327, 108,091.26 and 44,793 is: 61,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327 : 108,091.26 = 44,793 : x
  2. Step 2: Convert to fraction form
    78,327/108,091.26 = 44,793/x
  3. Step 3: Cross multiply
    78,327x = 108,091.26 × 44,793
  4. Step 4: Simplify right side
    78,327x = 4,841,731,809.18
  5. Step 5: Solve for x
    x = 4,841,731,809.18/78,327
  6. Step 6: Final answer
    x = 61,814.34

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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.