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Finding the Fourth Proportional to 55,825.38, 76,813.89 and 54,496.77

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Solution

The fourth proportional to 55,825.38, 76,813.89 and 54,496.77 is: 74,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,825.38 : 76,813.89 = 54,496.77 : x
  2. Step 2: Convert to fraction form
    55,825.38/76,813.89 = 54,496.77/x
  3. Step 3: Cross multiply
    55,825.38x = 76,813.89 × 54,496.77
  4. Step 4: Simplify right side
    55,825.38x = 4,186,108,896.14
  5. Step 5: Solve for x
    x = 4,186,108,896.14/55,825.38
  6. Step 6: Final answer
    x = 74,985.77

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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.