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Finding the Fourth Proportional to 73,507, 110,213.11 and 31,414.54

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Solution

The fourth proportional to 73,507, 110,213.11 and 31,414.54 is: 47,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507 : 110,213.11 = 31,414.54 : x
  2. Step 2: Convert to fraction form
    73,507/110,213.11 = 31,414.54/x
  3. Step 3: Cross multiply
    73,507x = 110,213.11 × 31,414.54
  4. Step 4: Simplify right side
    73,507x = 3,462,294,152.62
  5. Step 5: Solve for x
    x = 3,462,294,152.62/73,507
  6. Step 6: Final answer
    x = 47,101.56

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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.