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Finding the Fourth Proportional to 75,224, 103,809.12 and 41,692.16

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Solution

The fourth proportional to 75,224, 103,809.12 and 41,692.16 is: 57,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224 : 103,809.12 = 41,692.16 : x
  2. Step 2: Convert to fraction form
    75,224/103,809.12 = 41,692.16/x
  3. Step 3: Cross multiply
    75,224x = 103,809.12 × 41,692.16
  4. Step 4: Simplify right side
    75,224x = 4,328,026,440.50
  5. Step 5: Solve for x
    x = 4,328,026,440.50/75,224
  6. Step 6: Final answer
    x = 57,535.18

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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.