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Finding the Fourth Proportional to 53,692.99, 74,097.33 and 29,821.90

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Solution

The fourth proportional to 53,692.99, 74,097.33 and 29,821.90 is: 41,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.99 : 74,097.33 = 29,821.90 : x
  2. Step 2: Convert to fraction form
    53,692.99/74,097.33 = 29,821.90/x
  3. Step 3: Cross multiply
    53,692.99x = 74,097.33 × 29,821.90
  4. Step 4: Simplify right side
    53,692.99x = 2,209,723,165.53
  5. Step 5: Solve for x
    x = 2,209,723,165.53/53,692.99
  6. Step 6: Final answer
    x = 41,154.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.