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Finding the Fourth Proportional to 55,150.83, 82,102.53 and 54,822.78

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Solution

The fourth proportional to 55,150.83, 82,102.53 and 54,822.78 is: 81,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,150.83 : 82,102.53 = 54,822.78 : x
  2. Step 2: Convert to fraction form
    55,150.83/82,102.53 = 54,822.78/x
  3. Step 3: Cross multiply
    55,150.83x = 82,102.53 × 54,822.78
  4. Step 4: Simplify right side
    55,150.83x = 4,501,088,939.63
  5. Step 5: Solve for x
    x = 4,501,088,939.63/55,150.83
  6. Step 6: Final answer
    x = 81,614.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.