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Finding the Fourth Proportional to 81,054.82, 111,855.22 and 47,071.65

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Solution

The fourth proportional to 81,054.82, 111,855.22 and 47,071.65 is: 64,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.82 : 111,855.22 = 47,071.65 : x
  2. Step 2: Convert to fraction form
    81,054.82/111,855.22 = 47,071.65/x
  3. Step 3: Cross multiply
    81,054.82x = 111,855.22 × 47,071.65
  4. Step 4: Simplify right side
    81,054.82x = 5,265,210,068.29
  5. Step 5: Solve for x
    x = 5,265,210,068.29/81,054.82
  6. Step 6: Final answer
    x = 64,958.63

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Why These Related Problems?

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