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Finding the Fourth Proportional to 53,513.70, 73,851.57 and 30,856.38

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Solution

The fourth proportional to 53,513.70, 73,851.57 and 30,856.38 is: 42,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.70 : 73,851.57 = 30,856.38 : x
  2. Step 2: Convert to fraction form
    53,513.70/73,851.57 = 30,856.38/x
  3. Step 3: Cross multiply
    53,513.70x = 73,851.57 × 30,856.38
  4. Step 4: Simplify right side
    53,513.70x = 2,278,792,107.52
  5. Step 5: Solve for x
    x = 2,278,792,107.52/53,513.70
  6. Step 6: Final answer
    x = 42,583.34

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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.