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Finding the Fourth Proportional to 55,286.57, 76,218.17 and 46,754.38

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Solution

The fourth proportional to 55,286.57, 76,218.17 and 46,754.38 is: 64,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.57 : 76,218.17 = 46,754.38 : x
  2. Step 2: Convert to fraction form
    55,286.57/76,218.17 = 46,754.38/x
  3. Step 3: Cross multiply
    55,286.57x = 76,218.17 × 46,754.38
  4. Step 4: Simplify right side
    55,286.57x = 3,563,533,283.08
  5. Step 5: Solve for x
    x = 3,563,533,283.08/55,286.57
  6. Step 6: Final answer
    x = 64,455.68

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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.