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Finding the Fourth Proportional to 55,952.53, 83,898.11 and 22,184.33

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Solution

The fourth proportional to 55,952.53, 83,898.11 and 22,184.33 is: 33,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.53 : 83,898.11 = 22,184.33 : x
  2. Step 2: Convert to fraction form
    55,952.53/83,898.11 = 22,184.33/x
  3. Step 3: Cross multiply
    55,952.53x = 83,898.11 × 22,184.33
  4. Step 4: Simplify right side
    55,952.53x = 1,861,223,623.82
  5. Step 5: Solve for x
    x = 1,861,223,623.82/55,952.53
  6. Step 6: Final answer
    x = 33,264.34

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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.