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Finding the Fourth Proportional to 83,175.95, 114,782.68 and 47,365.97

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Solution

The fourth proportional to 83,175.95, 114,782.68 and 47,365.97 is: 65,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.95 : 114,782.68 = 47,365.97 : x
  2. Step 2: Convert to fraction form
    83,175.95/114,782.68 = 47,365.97/x
  3. Step 3: Cross multiply
    83,175.95x = 114,782.68 × 47,365.97
  4. Step 4: Simplify right side
    83,175.95x = 5,436,792,977.40
  5. Step 5: Solve for x
    x = 5,436,792,977.40/83,175.95
  6. Step 6: Final answer
    x = 65,364.96

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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.