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Finding the Fourth Proportional to 78,052.89, 107,759.39 and 51,242.30

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Solution

The fourth proportional to 78,052.89, 107,759.39 and 51,242.30 is: 70,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.89 : 107,759.39 = 51,242.30 : x
  2. Step 2: Convert to fraction form
    78,052.89/107,759.39 = 51,242.30/x
  3. Step 3: Cross multiply
    78,052.89x = 107,759.39 × 51,242.30
  4. Step 4: Simplify right side
    78,052.89x = 5,521,838,195.19
  5. Step 5: Solve for x
    x = 5,521,838,195.19/78,052.89
  6. Step 6: Final answer
    x = 70,744.83

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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.