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Finding the Fourth Proportional to 84,854.50, 117,101.64 and 47,131.18

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Solution

The fourth proportional to 84,854.50, 117,101.64 and 47,131.18 is: 65,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.50 : 117,101.64 = 47,131.18 : x
  2. Step 2: Convert to fraction form
    84,854.50/117,101.64 = 47,131.18/x
  3. Step 3: Cross multiply
    84,854.50x = 117,101.64 × 47,131.18
  4. Step 4: Simplify right side
    84,854.50x = 5,519,138,473.14
  5. Step 5: Solve for x
    x = 5,519,138,473.14/84,854.50
  6. Step 6: Final answer
    x = 65,042.38

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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.