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Finding the Fourth Proportional to 45,843.14, 68,742.02 and 16,256.54

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Solution

The fourth proportional to 45,843.14, 68,742.02 and 16,256.54 is: 24,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,843.14 : 68,742.02 = 16,256.54 : x
  2. Step 2: Convert to fraction form
    45,843.14/68,742.02 = 16,256.54/x
  3. Step 3: Cross multiply
    45,843.14x = 68,742.02 × 16,256.54
  4. Step 4: Simplify right side
    45,843.14x = 1,117,507,397.81
  5. Step 5: Solve for x
    x = 1,117,507,397.81/45,843.14
  6. Step 6: Final answer
    x = 24,376.76

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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.