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Finding the Fourth Proportional to 55,496.88, 76,585.69 and 30,346.38

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Solution

The fourth proportional to 55,496.88, 76,585.69 and 30,346.38 is: 41,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496.88 : 76,585.69 = 30,346.38 : x
  2. Step 2: Convert to fraction form
    55,496.88/76,585.69 = 30,346.38/x
  3. Step 3: Cross multiply
    55,496.88x = 76,585.69 × 30,346.38
  4. Step 4: Simplify right side
    55,496.88x = 2,324,098,451.30
  5. Step 5: Solve for x
    x = 2,324,098,451.30/55,496.88
  6. Step 6: Final answer
    x = 41,878.00

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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.