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Finding the Fourth Proportional to 84,634.82, 116,799.86 and 48,339.43

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Solution

The fourth proportional to 84,634.82, 116,799.86 and 48,339.43 is: 66,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,634.82 : 116,799.86 = 48,339.43 : x
  2. Step 2: Convert to fraction form
    84,634.82/116,799.86 = 48,339.43/x
  3. Step 3: Cross multiply
    84,634.82x = 116,799.86 × 48,339.43
  4. Step 4: Simplify right side
    84,634.82x = 5,646,038,870.42
  5. Step 5: Solve for x
    x = 5,646,038,870.42/84,634.82
  6. Step 6: Final answer
    x = 66,710.59

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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.