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Finding the Fourth Proportional to 49,692.76, 74,573.70 and 32,119

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Solution

The fourth proportional to 49,692.76, 74,573.70 and 32,119 is: 48,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692.76 : 74,573.70 = 32,119 : x
  2. Step 2: Convert to fraction form
    49,692.76/74,573.70 = 32,119/x
  3. Step 3: Cross multiply
    49,692.76x = 74,573.70 × 32,119
  4. Step 4: Simplify right side
    49,692.76x = 2,395,232,670.30
  5. Step 5: Solve for x
    x = 2,395,232,670.30/49,692.76
  6. Step 6: Final answer
    x = 48,200.84

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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.