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Finding the Fourth Proportional to 52,993.56, 73,098.60 and 31,468.68

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Solution

The fourth proportional to 52,993.56, 73,098.60 and 31,468.68 is: 43,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,993.56 : 73,098.60 = 31,468.68 : x
  2. Step 2: Convert to fraction form
    52,993.56/73,098.60 = 31,468.68/x
  3. Step 3: Cross multiply
    52,993.56x = 73,098.60 × 31,468.68
  4. Step 4: Simplify right side
    52,993.56x = 2,300,316,451.85
  5. Step 5: Solve for x
    x = 2,300,316,451.85/52,993.56
  6. Step 6: Final answer
    x = 43,407.47

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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.