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Finding the Fourth Proportional to 84,459.06, 116,533.92 and 50,478.55

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Solution

The fourth proportional to 84,459.06, 116,533.92 and 50,478.55 is: 69,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.06 : 116,533.92 = 50,478.55 : x
  2. Step 2: Convert to fraction form
    84,459.06/116,533.92 = 50,478.55/x
  3. Step 3: Cross multiply
    84,459.06x = 116,533.92 × 50,478.55
  4. Step 4: Simplify right side
    84,459.06x = 5,882,463,205.38
  5. Step 5: Solve for x
    x = 5,882,463,205.38/84,459.06
  6. Step 6: Final answer
    x = 69,648.69

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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.