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Finding the Fourth Proportional to 54,313.56, 74,955.78 and 30,441.78

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Solution

The fourth proportional to 54,313.56, 74,955.78 and 30,441.78 is: 42,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,313.56 : 74,955.78 = 30,441.78 : x
  2. Step 2: Convert to fraction form
    54,313.56/74,955.78 = 30,441.78/x
  3. Step 3: Cross multiply
    54,313.56x = 74,955.78 × 30,441.78
  4. Step 4: Simplify right side
    54,313.56x = 2,281,787,364.49
  5. Step 5: Solve for x
    x = 2,281,787,364.49/54,313.56
  6. Step 6: Final answer
    x = 42,011.38

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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.