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Finding the Fourth Proportional to 55,957.50, 83,936.25 and 19,021.50

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Solution

The fourth proportional to 55,957.50, 83,936.25 and 19,021.50 is: 28,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,957.50 : 83,936.25 = 19,021.50 : x
  2. Step 2: Convert to fraction form
    55,957.50/83,936.25 = 19,021.50/x
  3. Step 3: Cross multiply
    55,957.50x = 83,936.25 × 19,021.50
  4. Step 4: Simplify right side
    55,957.50x = 1,596,593,379.38
  5. Step 5: Solve for x
    x = 1,596,593,379.38/55,957.50
  6. Step 6: Final answer
    x = 28,532.25

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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.