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Finding the Fourth Proportional to 84,057.16, 115,991.04 and 46,331.16

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Solution

The fourth proportional to 84,057.16, 115,991.04 and 46,331.16 is: 63,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,057.16 : 115,991.04 = 46,331.16 : x
  2. Step 2: Convert to fraction form
    84,057.16/115,991.04 = 46,331.16/x
  3. Step 3: Cross multiply
    84,057.16x = 115,991.04 × 46,331.16
  4. Step 4: Simplify right side
    84,057.16x = 5,373,999,432.81
  5. Step 5: Solve for x
    x = 5,373,999,432.81/84,057.16
  6. Step 6: Final answer
    x = 63,932.68

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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.