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Finding the Fourth Proportional to 82,672.82, 114,087.93 and 44,947.07

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Solution

The fourth proportional to 82,672.82, 114,087.93 and 44,947.07 is: 62,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.82 : 114,087.93 = 44,947.07 : x
  2. Step 2: Convert to fraction form
    82,672.82/114,087.93 = 44,947.07/x
  3. Step 3: Cross multiply
    82,672.82x = 114,087.93 × 44,947.07
  4. Step 4: Simplify right side
    82,672.82x = 5,127,918,175.87
  5. Step 5: Solve for x
    x = 5,127,918,175.87/82,672.82
  6. Step 6: Final answer
    x = 62,026.65

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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.