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Finding the Fourth Proportional to 53,191, 73,393.86 and 31,975.48

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Solution

The fourth proportional to 53,191, 73,393.86 and 31,975.48 is: 44,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,191 : 73,393.86 = 31,975.48 : x
  2. Step 2: Convert to fraction form
    53,191/73,393.86 = 31,975.48/x
  3. Step 3: Cross multiply
    53,191x = 73,393.86 × 31,975.48
  4. Step 4: Simplify right side
    53,191x = 2,346,803,902.55
  5. Step 5: Solve for x
    x = 2,346,803,902.55/53,191
  6. Step 6: Final answer
    x = 44,120.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.