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Finding the Fourth Proportional to 54,692.21, 82,038.29 and 42,230.43

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Solution

The fourth proportional to 54,692.21, 82,038.29 and 42,230.43 is: 63,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.21 : 82,038.29 = 42,230.43 : x
  2. Step 2: Convert to fraction form
    54,692.21/82,038.29 = 42,230.43/x
  3. Step 3: Cross multiply
    54,692.21x = 82,038.29 × 42,230.43
  4. Step 4: Simplify right side
    54,692.21x = 3,464,512,052.01
  5. Step 5: Solve for x
    x = 3,464,512,052.01/54,692.21
  6. Step 6: Final answer
    x = 63,345.62

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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.