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Finding the Fourth Proportional to 84,596.22, 116,737.77 and 46,348.17

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Solution

The fourth proportional to 84,596.22, 116,737.77 and 46,348.17 is: 63,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,596.22 : 116,737.77 = 46,348.17 : x
  2. Step 2: Convert to fraction form
    84,596.22/116,737.77 = 46,348.17/x
  3. Step 3: Cross multiply
    84,596.22x = 116,737.77 × 46,348.17
  4. Step 4: Simplify right side
    84,596.22x = 5,410,582,009.38
  5. Step 5: Solve for x
    x = 5,410,582,009.38/84,596.22
  6. Step 6: Final answer
    x = 63,957.73

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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.