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Finding the Fourth Proportional to 54,605.38, 75,378.67 and 36,710.76

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Solution

The fourth proportional to 54,605.38, 75,378.67 and 36,710.76 is: 50,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,605.38 : 75,378.67 = 36,710.76 : x
  2. Step 2: Convert to fraction form
    54,605.38/75,378.67 = 36,710.76/x
  3. Step 3: Cross multiply
    54,605.38x = 75,378.67 × 36,710.76
  4. Step 4: Simplify right side
    54,605.38x = 2,767,208,171.71
  5. Step 5: Solve for x
    x = 2,767,208,171.71/54,605.38
  6. Step 6: Final answer
    x = 50,676.48

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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.