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Finding the Fourth Proportional to 50,345.73, 69,503.81 and 31,488.93

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Solution

The fourth proportional to 50,345.73, 69,503.81 and 31,488.93 is: 43,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,345.73 : 69,503.81 = 31,488.93 : x
  2. Step 2: Convert to fraction form
    50,345.73/69,503.81 = 31,488.93/x
  3. Step 3: Cross multiply
    50,345.73x = 69,503.81 × 31,488.93
  4. Step 4: Simplify right side
    50,345.73x = 2,188,600,450.38
  5. Step 5: Solve for x
    x = 2,188,600,450.38/50,345.73
  6. Step 6: Final answer
    x = 43,471.42

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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.