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Finding the Fourth Proportional to 40,493.64, 60,741.00 and 14,199.15

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Solution

The fourth proportional to 40,493.64, 60,741.00 and 14,199.15 is: 21,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,493.64 : 60,741.00 = 14,199.15 : x
  2. Step 2: Convert to fraction form
    40,493.64/60,741.00 = 14,199.15/x
  3. Step 3: Cross multiply
    40,493.64x = 60,741.00 × 14,199.15
  4. Step 4: Simplify right side
    40,493.64x = 862,470,672.70
  5. Step 5: Solve for x
    x = 862,470,672.70/40,493.64
  6. Step 6: Final answer
    x = 21,298.92

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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.