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Finding the Fourth Proportional to 52,541, 72,496.66 and 31,322.24

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Solution

The fourth proportional to 52,541, 72,496.66 and 31,322.24 is: 43,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541 : 72,496.66 = 31,322.24 : x
  2. Step 2: Convert to fraction form
    52,541/72,496.66 = 31,322.24/x
  3. Step 3: Cross multiply
    52,541x = 72,496.66 × 31,322.24
  4. Step 4: Simplify right side
    52,541x = 2,270,757,783.72
  5. Step 5: Solve for x
    x = 2,270,757,783.72/52,541
  6. Step 6: Final answer
    x = 43,218.78

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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.