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Finding the Fourth Proportional to 32,692.94, 49,046.70 and 11,916.44

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Solution

The fourth proportional to 32,692.94, 49,046.70 and 11,916.44 is: 17,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.94 : 49,046.70 = 11,916.44 : x
  2. Step 2: Convert to fraction form
    32,692.94/49,046.70 = 11,916.44/x
  3. Step 3: Cross multiply
    32,692.94x = 49,046.70 × 11,916.44
  4. Step 4: Simplify right side
    32,692.94x = 584,462,057.75
  5. Step 5: Solve for x
    x = 584,462,057.75/32,692.94
  6. Step 6: Final answer
    x = 17,877.32

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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.