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Finding the Fourth Proportional to 52,692.33, 79,069.68 and 19,435.77

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Solution

The fourth proportional to 52,692.33, 79,069.68 and 19,435.77 is: 29,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692.33 : 79,069.68 = 19,435.77 : x
  2. Step 2: Convert to fraction form
    52,692.33/79,069.68 = 19,435.77/x
  3. Step 3: Cross multiply
    52,692.33x = 79,069.68 × 19,435.77
  4. Step 4: Simplify right side
    52,692.33x = 1,536,780,114.45
  5. Step 5: Solve for x
    x = 1,536,780,114.45/52,692.33
  6. Step 6: Final answer
    x = 29,165.16

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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.