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Finding the Fourth Proportional to 84,884.70, 117,135.13 and 46,646.90

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Solution

The fourth proportional to 84,884.70, 117,135.13 and 46,646.90 is: 64,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,884.70 : 117,135.13 = 46,646.90 : x
  2. Step 2: Convert to fraction form
    84,884.70/117,135.13 = 46,646.90/x
  3. Step 3: Cross multiply
    84,884.70x = 117,135.13 × 46,646.90
  4. Step 4: Simplify right side
    84,884.70x = 5,463,990,695.60
  5. Step 5: Solve for x
    x = 5,463,990,695.60/84,884.70
  6. Step 6: Final answer
    x = 64,369.56

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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.