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Finding the Fourth Proportional to 52,540, 72,495.28 and 31,321.24

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Solution

The fourth proportional to 52,540, 72,495.28 and 31,321.24 is: 43,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540 : 72,495.28 = 31,321.24 : x
  2. Step 2: Convert to fraction form
    52,540/72,495.28 = 31,321.24/x
  3. Step 3: Cross multiply
    52,540x = 72,495.28 × 31,321.24
  4. Step 4: Simplify right side
    52,540x = 2,270,642,063.75
  5. Step 5: Solve for x
    x = 2,270,642,063.75/52,540
  6. Step 6: Final answer
    x = 43,217.40

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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.