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Finding the Fourth Proportional to 53,494.56, 73,813.80 and 30,834.48

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Solution

The fourth proportional to 53,494.56, 73,813.80 and 30,834.48 is: 42,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,494.56 : 73,813.80 = 30,834.48 : x
  2. Step 2: Convert to fraction form
    53,494.56/73,813.80 = 30,834.48/x
  3. Step 3: Cross multiply
    53,494.56x = 73,813.80 × 30,834.48
  4. Step 4: Simplify right side
    53,494.56x = 2,276,010,139.82
  5. Step 5: Solve for x
    x = 2,276,010,139.82/53,494.56
  6. Step 6: Final answer
    x = 42,546.57

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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.