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Finding the Fourth Proportional to 84,186.54, 116,184.51 and 46,468.62

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Solution

The fourth proportional to 84,186.54, 116,184.51 and 46,468.62 is: 64,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186.54 : 116,184.51 = 46,468.62 : x
  2. Step 2: Convert to fraction form
    84,186.54/116,184.51 = 46,468.62/x
  3. Step 3: Cross multiply
    84,186.54x = 116,184.51 × 46,468.62
  4. Step 4: Simplify right side
    84,186.54x = 5,398,933,845.08
  5. Step 5: Solve for x
    x = 5,398,933,845.08/84,186.54
  6. Step 6: Final answer
    x = 64,130.61

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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.