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Finding the Fourth Proportional to 84,993.91, 117,291.71 and 47,268.16

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Solution

The fourth proportional to 84,993.91, 117,291.71 and 47,268.16 is: 65,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993.91 : 117,291.71 = 47,268.16 : x
  2. Step 2: Convert to fraction form
    84,993.91/117,291.71 = 47,268.16/x
  3. Step 3: Cross multiply
    84,993.91x = 117,291.71 × 47,268.16
  4. Step 4: Simplify right side
    84,993.91x = 5,544,162,492.15
  5. Step 5: Solve for x
    x = 5,544,162,492.15/84,993.91
  6. Step 6: Final answer
    x = 65,230.12

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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.