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Finding the Fourth Proportional to 84,900.77, 117,164.12 and 46,664.49

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Solution

The fourth proportional to 84,900.77, 117,164.12 and 46,664.49 is: 64,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900.77 : 117,164.12 = 46,664.49 : x
  2. Step 2: Convert to fraction form
    84,900.77/117,164.12 = 46,664.49/x
  3. Step 3: Cross multiply
    84,900.77x = 117,164.12 × 46,664.49
  4. Step 4: Simplify right side
    84,900.77x = 5,467,403,906.10
  5. Step 5: Solve for x
    x = 5,467,403,906.10/84,900.77
  6. Step 6: Final answer
    x = 64,397.58

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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.