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Finding the Fourth Proportional to 55,972.98, 83,935.77 and 16,519.50

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Solution

The fourth proportional to 55,972.98, 83,935.77 and 16,519.50 is: 24,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972.98 : 83,935.77 = 16,519.50 : x
  2. Step 2: Convert to fraction form
    55,972.98/83,935.77 = 16,519.50/x
  3. Step 3: Cross multiply
    55,972.98x = 83,935.77 × 16,519.50
  4. Step 4: Simplify right side
    55,972.98x = 1,386,576,952.52
  5. Step 5: Solve for x
    x = 1,386,576,952.52/55,972.98
  6. Step 6: Final answer
    x = 24,772.26

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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.