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Finding the Fourth Proportional to 75,007.82, 103,462.01 and 48,107.72

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Solution

The fourth proportional to 75,007.82, 103,462.01 and 48,107.72 is: 66,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,007.82 : 103,462.01 = 48,107.72 : x
  2. Step 2: Convert to fraction form
    75,007.82/103,462.01 = 48,107.72/x
  3. Step 3: Cross multiply
    75,007.82x = 103,462.01 × 48,107.72
  4. Step 4: Simplify right side
    75,007.82x = 4,977,321,294.87
  5. Step 5: Solve for x
    x = 4,977,321,294.87/75,007.82
  6. Step 6: Final answer
    x = 66,357.37

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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.