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Finding the Fourth Proportional to 78,081.65, 107,751.39 and 42,271.36

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Solution

The fourth proportional to 78,081.65, 107,751.39 and 42,271.36 is: 58,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081.65 : 107,751.39 = 42,271.36 : x
  2. Step 2: Convert to fraction form
    78,081.65/107,751.39 = 42,271.36/x
  3. Step 3: Cross multiply
    78,081.65x = 107,751.39 × 42,271.36
  4. Step 4: Simplify right side
    78,081.65x = 4,554,797,797.19
  5. Step 5: Solve for x
    x = 4,554,797,797.19/78,081.65
  6. Step 6: Final answer
    x = 58,333.78

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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.