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Finding the Fourth Proportional to 51,842.94, 71,544.87 and 29,488.38

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Solution

The fourth proportional to 51,842.94, 71,544.87 and 29,488.38 is: 40,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.94 : 71,544.87 = 29,488.38 : x
  2. Step 2: Convert to fraction form
    51,842.94/71,544.87 = 29,488.38/x
  3. Step 3: Cross multiply
    51,842.94x = 71,544.87 × 29,488.38
  4. Step 4: Simplify right side
    51,842.94x = 2,109,742,313.61
  5. Step 5: Solve for x
    x = 2,109,742,313.61/51,842.94
  6. Step 6: Final answer
    x = 40,694.88

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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.