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Finding the Fourth Proportional to 53,158, 73,357.60 and 31,662.48

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Solution

The fourth proportional to 53,158, 73,357.60 and 31,662.48 is: 43,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,158 : 73,357.60 = 31,662.48 : x
  2. Step 2: Convert to fraction form
    53,158/73,357.60 = 31,662.48/x
  3. Step 3: Cross multiply
    53,158x = 73,357.60 × 31,662.48
  4. Step 4: Simplify right side
    53,158x = 2,322,683,542.85
  5. Step 5: Solve for x
    x = 2,322,683,542.85/53,158
  6. Step 6: Final answer
    x = 43,693.96

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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.