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Finding the Fourth Proportional to 52,725.30, 72,765.88 and 31,504.12

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Solution

The fourth proportional to 52,725.30, 72,765.88 and 31,504.12 is: 43,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,725.30 : 72,765.88 = 31,504.12 : x
  2. Step 2: Convert to fraction form
    52,725.30/72,765.88 = 31,504.12/x
  3. Step 3: Cross multiply
    52,725.30x = 72,765.88 × 31,504.12
  4. Step 4: Simplify right side
    52,725.30x = 2,292,425,015.43
  5. Step 5: Solve for x
    x = 2,292,425,015.43/52,725.30
  6. Step 6: Final answer
    x = 43,478.65

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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.