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Finding the Fourth Proportional to 29,692.33, 44,530.70 and 10,977.71

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Solution

The fourth proportional to 29,692.33, 44,530.70 and 10,977.71 is: 16,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.33 : 44,530.70 = 10,977.71 : x
  2. Step 2: Convert to fraction form
    29,692.33/44,530.70 = 10,977.71/x
  3. Step 3: Cross multiply
    29,692.33x = 44,530.70 × 10,977.71
  4. Step 4: Simplify right side
    29,692.33x = 488,845,249.47
  5. Step 5: Solve for x
    x = 488,845,249.47/29,692.33
  6. Step 6: Final answer
    x = 16,463.69

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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.