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Finding the Fourth Proportional to 59,692.70, 82,374.20 and 32,835.22

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Solution

The fourth proportional to 59,692.70, 82,374.20 and 32,835.22 is: 45,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,692.70 : 82,374.20 = 32,835.22 : x
  2. Step 2: Convert to fraction form
    59,692.70/82,374.20 = 32,835.22/x
  3. Step 3: Cross multiply
    59,692.70x = 82,374.20 × 32,835.22
  4. Step 4: Simplify right side
    59,692.70x = 2,704,774,979.32
  5. Step 5: Solve for x
    x = 2,704,774,979.32/59,692.70
  6. Step 6: Final answer
    x = 45,311.65

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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.