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Finding the Fourth Proportional to 40,493.14, 60,748.34 and 14,199.46

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Solution

The fourth proportional to 40,493.14, 60,748.34 and 14,199.46 is: 21,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,493.14 : 60,748.34 = 14,199.46 : x
  2. Step 2: Convert to fraction form
    40,493.14/60,748.34 = 14,199.46/x
  3. Step 3: Cross multiply
    40,493.14x = 60,748.34 × 14,199.46
  4. Step 4: Simplify right side
    40,493.14x = 862,593,623.90
  5. Step 5: Solve for x
    x = 862,593,623.90/40,493.14
  6. Step 6: Final answer
    x = 21,302.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.