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Finding the Fourth Proportional to 64,704.56, 97,072.94 and 51,427.64

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Solution

The fourth proportional to 64,704.56, 97,072.94 and 51,427.64 is: 77,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,704.56 : 97,072.94 = 51,427.64 : x
  2. Step 2: Convert to fraction form
    64,704.56/97,072.94 = 51,427.64/x
  3. Step 3: Cross multiply
    64,704.56x = 97,072.94 × 51,427.64
  4. Step 4: Simplify right side
    64,704.56x = 4,992,232,583.31
  5. Step 5: Solve for x
    x = 4,992,232,583.31/64,704.56
  6. Step 6: Final answer
    x = 77,154.27

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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.