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Finding the Fourth Proportional to 54,642.29, 75,406.64 and 30,769.38

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Solution

The fourth proportional to 54,642.29, 75,406.64 and 30,769.38 is: 42,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.29 : 75,406.64 = 30,769.38 : x
  2. Step 2: Convert to fraction form
    54,642.29/75,406.64 = 30,769.38/x
  3. Step 3: Cross multiply
    54,642.29x = 75,406.64 × 30,769.38
  4. Step 4: Simplify right side
    54,642.29x = 2,320,215,406.84
  5. Step 5: Solve for x
    x = 2,320,215,406.84/54,642.29
  6. Step 6: Final answer
    x = 42,461.90

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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.