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Finding the Fourth Proportional to 81,977.57, 113,127.13 and 46,167.72

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Solution

The fourth proportional to 81,977.57, 113,127.13 and 46,167.72 is: 63,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,977.57 : 113,127.13 = 46,167.72 : x
  2. Step 2: Convert to fraction form
    81,977.57/113,127.13 = 46,167.72/x
  3. Step 3: Cross multiply
    81,977.57x = 113,127.13 × 46,167.72
  4. Step 4: Simplify right side
    81,977.57x = 5,222,821,932.07
  5. Step 5: Solve for x
    x = 5,222,821,932.07/81,977.57
  6. Step 6: Final answer
    x = 63,710.38

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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.