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Finding the Fourth Proportional to 72,657, 108,956.34 and 35,186.40

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Solution

The fourth proportional to 72,657, 108,956.34 and 35,186.40 is: 52,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657 : 108,956.34 = 35,186.40 : x
  2. Step 2: Convert to fraction form
    72,657/108,956.34 = 35,186.40/x
  3. Step 3: Cross multiply
    72,657x = 108,956.34 × 35,186.40
  4. Step 4: Simplify right side
    72,657x = 3,833,781,361.78
  5. Step 5: Solve for x
    x = 3,833,781,361.78/72,657
  6. Step 6: Final answer
    x = 52,765.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.