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Finding the Fourth Proportional to 55,491.18, 83,234.79 and 18,051

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Solution

The fourth proportional to 55,491.18, 83,234.79 and 18,051 is: 27,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,491.18 : 83,234.79 = 18,051 : x
  2. Step 2: Convert to fraction form
    55,491.18/83,234.79 = 18,051/x
  3. Step 3: Cross multiply
    55,491.18x = 83,234.79 × 18,051
  4. Step 4: Simplify right side
    55,491.18x = 1,502,471,194.29
  5. Step 5: Solve for x
    x = 1,502,471,194.29/55,491.18
  6. Step 6: Final answer
    x = 27,075.86

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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.