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Finding the Fourth Proportional to 78,240.29, 107,986.91 and 51,382.10

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Solution

The fourth proportional to 78,240.29, 107,986.91 and 51,382.10 is: 70,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,240.29 : 107,986.91 = 51,382.10 : x
  2. Step 2: Convert to fraction form
    78,240.29/107,986.91 = 51,382.10/x
  3. Step 3: Cross multiply
    78,240.29x = 107,986.91 × 51,382.10
  4. Step 4: Simplify right side
    78,240.29x = 5,548,594,221.37
  5. Step 5: Solve for x
    x = 5,548,594,221.37/78,240.29
  6. Step 6: Final answer
    x = 70,917.36

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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.