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Finding the Fourth Proportional to 59,198.49, 81,692.49 and 32,341.08

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Solution

The fourth proportional to 59,198.49, 81,692.49 and 32,341.08 is: 44,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,198.49 : 81,692.49 = 32,341.08 : x
  2. Step 2: Convert to fraction form
    59,198.49/81,692.49 = 32,341.08/x
  3. Step 3: Cross multiply
    59,198.49x = 81,692.49 × 32,341.08
  4. Step 4: Simplify right side
    59,198.49x = 2,642,023,354.49
  5. Step 5: Solve for x
    x = 2,642,023,354.49/59,198.49
  6. Step 6: Final answer
    x = 44,629.91

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Why These Related Problems?

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