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Finding the Fourth Proportional to 47,073.54, 64,942.71 and 30,073.38

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Solution

The fourth proportional to 47,073.54, 64,942.71 and 30,073.38 is: 41,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,073.54 : 64,942.71 = 30,073.38 : x
  2. Step 2: Convert to fraction form
    47,073.54/64,942.71 = 30,073.38/x
  3. Step 3: Cross multiply
    47,073.54x = 64,942.71 × 30,073.38
  4. Step 4: Simplify right side
    47,073.54x = 1,953,046,796.06
  5. Step 5: Solve for x
    x = 1,953,046,796.06/47,073.54
  6. Step 6: Final answer
    x = 41,489.27

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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.