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Finding the Fourth Proportional to 84,854.52, 117,096.03 and 47,131.20

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Solution

The fourth proportional to 84,854.52, 117,096.03 and 47,131.20 is: 65,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,854.52 : 117,096.03 = 47,131.20 : x
  2. Step 2: Convert to fraction form
    84,854.52/117,096.03 = 47,131.20/x
  3. Step 3: Cross multiply
    84,854.52x = 117,096.03 × 47,131.20
  4. Step 4: Simplify right side
    84,854.52x = 5,518,876,409.14
  5. Step 5: Solve for x
    x = 5,518,876,409.14/84,854.52
  6. Step 6: Final answer
    x = 65,039.27

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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.