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Finding the Fourth Proportional to 78,051.39, 107,757.32 and 51,240.80

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Solution

The fourth proportional to 78,051.39, 107,757.32 and 51,240.80 is: 70,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.39 : 107,757.32 = 51,240.80 : x
  2. Step 2: Convert to fraction form
    78,051.39/107,757.32 = 51,240.80/x
  3. Step 3: Cross multiply
    78,051.39x = 107,757.32 × 51,240.80
  4. Step 4: Simplify right side
    78,051.39x = 5,521,570,487.67
  5. Step 5: Solve for x
    x = 5,521,570,487.67/78,051.39
  6. Step 6: Final answer
    x = 70,742.76

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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.