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Finding the Fourth Proportional to 72,461.64, 108,692.82 and 32,991.14

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Solution

The fourth proportional to 72,461.64, 108,692.82 and 32,991.14 is: 49,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,461.64 : 108,692.82 = 32,991.14 : x
  2. Step 2: Convert to fraction form
    72,461.64/108,692.82 = 32,991.14/x
  3. Step 3: Cross multiply
    72,461.64x = 108,692.82 × 32,991.14
  4. Step 4: Simplify right side
    72,461.64x = 3,585,900,041.61
  5. Step 5: Solve for x
    x = 3,585,900,041.61/72,461.64
  6. Step 6: Final answer
    x = 49,486.87

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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.