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Finding the Fourth Proportional to 78,004.34, 107,645.32 and 42,194.04

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Solution

The fourth proportional to 78,004.34, 107,645.32 and 42,194.04 is: 58,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.34 : 107,645.32 = 42,194.04 : x
  2. Step 2: Convert to fraction form
    78,004.34/107,645.32 = 42,194.04/x
  3. Step 3: Cross multiply
    78,004.34x = 107,645.32 × 42,194.04
  4. Step 4: Simplify right side
    78,004.34x = 4,541,990,937.89
  5. Step 5: Solve for x
    x = 4,541,990,937.89/78,004.34
  6. Step 6: Final answer
    x = 58,227.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.