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Finding the Fourth Proportional to 83,950.48, 115,825.64 and 47,646

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Solution

The fourth proportional to 83,950.48, 115,825.64 and 47,646 is: 65,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950.48 : 115,825.64 = 47,646 : x
  2. Step 2: Convert to fraction form
    83,950.48/115,825.64 = 47,646/x
  3. Step 3: Cross multiply
    83,950.48x = 115,825.64 × 47,646
  4. Step 4: Simplify right side
    83,950.48x = 5,518,628,443.44
  5. Step 5: Solve for x
    x = 5,518,628,443.44/83,950.48
  6. Step 6: Final answer
    x = 65,736.71

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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.