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Finding the Fourth Proportional to 84,593.68, 116,734.22 and 46,865.20

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Solution

The fourth proportional to 84,593.68, 116,734.22 and 46,865.20 is: 64,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593.68 : 116,734.22 = 46,865.20 : x
  2. Step 2: Convert to fraction form
    84,593.68/116,734.22 = 46,865.20/x
  3. Step 3: Cross multiply
    84,593.68x = 116,734.22 × 46,865.20
  4. Step 4: Simplify right side
    84,593.68x = 5,470,772,567.14
  5. Step 5: Solve for x
    x = 5,470,772,567.14/84,593.68
  6. Step 6: Final answer
    x = 64,671.17

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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.