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Finding the Fourth Proportional to 84,187.98, 116,178.57 and 48,389.22

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Solution

The fourth proportional to 84,187.98, 116,178.57 and 48,389.22 is: 66,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,187.98 : 116,178.57 = 48,389.22 : x
  2. Step 2: Convert to fraction form
    84,187.98/116,178.57 = 48,389.22/x
  3. Step 3: Cross multiply
    84,187.98x = 116,178.57 × 48,389.22
  4. Step 4: Simplify right side
    84,187.98x = 5,621,790,383.02
  5. Step 5: Solve for x
    x = 5,621,790,383.02/84,187.98
  6. Step 6: Final answer
    x = 66,776.64

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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.