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Finding the Fourth Proportional to 100,022.81, 138,026.37 and 54,692.00

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Solution

The fourth proportional to 100,022.81, 138,026.37 and 54,692.00 is: 75,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022.81 : 138,026.37 = 54,692.00 : x
  2. Step 2: Convert to fraction form
    100,022.81/138,026.37 = 54,692.00/x
  3. Step 3: Cross multiply
    100,022.81x = 138,026.37 × 54,692.00
  4. Step 4: Simplify right side
    100,022.81x = 7,548,937,537.91
  5. Step 5: Solve for x
    x = 7,548,937,537.91/100,022.81
  6. Step 6: Final answer
    x = 75,472.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.