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Finding the Fourth Proportional to 53,692.50, 74,096.64 and 29,821.40

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Solution

The fourth proportional to 53,692.50, 74,096.64 and 29,821.40 is: 41,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.50 : 74,096.64 = 29,821.40 : x
  2. Step 2: Convert to fraction form
    53,692.50/74,096.64 = 29,821.40/x
  3. Step 3: Cross multiply
    53,692.50x = 74,096.64 × 29,821.40
  4. Step 4: Simplify right side
    53,692.50x = 2,209,665,540.10
  5. Step 5: Solve for x
    x = 2,209,665,540.10/53,692.50
  6. Step 6: Final answer
    x = 41,154.08

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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.