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Finding the Fourth Proportional to 97,662.34, 134,775.12 and 52,950.34

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Solution

The fourth proportional to 97,662.34, 134,775.12 and 52,950.34 is: 73,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662.34 : 134,775.12 = 52,950.34 : x
  2. Step 2: Convert to fraction form
    97,662.34/134,775.12 = 52,950.34/x
  3. Step 3: Cross multiply
    97,662.34x = 134,775.12 × 52,950.34
  4. Step 4: Simplify right side
    97,662.34x = 7,136,388,427.54
  5. Step 5: Solve for x
    x = 7,136,388,427.54/97,662.34
  6. Step 6: Final answer
    x = 73,072.06

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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.