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Finding the Fourth Proportional to 78,894.81, 108,877.23 and 43,086.60

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Solution

The fourth proportional to 78,894.81, 108,877.23 and 43,086.60 is: 59,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894.81 : 108,877.23 = 43,086.60 : x
  2. Step 2: Convert to fraction form
    78,894.81/108,877.23 = 43,086.60/x
  3. Step 3: Cross multiply
    78,894.81x = 108,877.23 × 43,086.60
  4. Step 4: Simplify right side
    78,894.81x = 4,691,149,658.12
  5. Step 5: Solve for x
    x = 4,691,149,658.12/78,894.81
  6. Step 6: Final answer
    x = 59,460.81

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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.