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Finding the Fourth Proportional to 54,132.50, 81,189.16 and 14,692.68

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Solution

The fourth proportional to 54,132.50, 81,189.16 and 14,692.68 is: 22,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,132.50 : 81,189.16 = 14,692.68 : x
  2. Step 2: Convert to fraction form
    54,132.50/81,189.16 = 14,692.68/x
  3. Step 3: Cross multiply
    54,132.50x = 81,189.16 × 14,692.68
  4. Step 4: Simplify right side
    54,132.50x = 1,192,886,347.35
  5. Step 5: Solve for x
    x = 1,192,886,347.35/54,132.50
  6. Step 6: Final answer
    x = 22,036.42

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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.