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Finding the Fourth Proportional to 53,558.44, 73,909.38 and 31,201

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Solution

The fourth proportional to 53,558.44, 73,909.38 and 31,201 is: 43,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,558.44 : 73,909.38 = 31,201 : x
  2. Step 2: Convert to fraction form
    53,558.44/73,909.38 = 31,201/x
  3. Step 3: Cross multiply
    53,558.44x = 73,909.38 × 31,201
  4. Step 4: Simplify right side
    53,558.44x = 2,306,046,565.38
  5. Step 5: Solve for x
    x = 2,306,046,565.38/53,558.44
  6. Step 6: Final answer
    x = 43,056.64

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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.