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Finding the Fourth Proportional to 55,963.50, 83,945.25 and 19,027.50

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Solution

The fourth proportional to 55,963.50, 83,945.25 and 19,027.50 is: 28,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,963.50 : 83,945.25 = 19,027.50 : x
  2. Step 2: Convert to fraction form
    55,963.50/83,945.25 = 19,027.50/x
  3. Step 3: Cross multiply
    55,963.50x = 83,945.25 × 19,027.50
  4. Step 4: Simplify right side
    55,963.50x = 1,597,268,244.38
  5. Step 5: Solve for x
    x = 1,597,268,244.38/55,963.50
  6. Step 6: Final answer
    x = 28,541.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.