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Finding the Fourth Proportional to 65,956.16, 91,019.30 and 35,742.24

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Solution

The fourth proportional to 65,956.16, 91,019.30 and 35,742.24 is: 49,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956.16 : 91,019.30 = 35,742.24 : x
  2. Step 2: Convert to fraction form
    65,956.16/91,019.30 = 35,742.24/x
  3. Step 3: Cross multiply
    65,956.16x = 91,019.30 × 35,742.24
  4. Step 4: Simplify right side
    65,956.16x = 3,253,233,486.52
  5. Step 5: Solve for x
    x = 3,253,233,486.52/65,956.16
  6. Step 6: Final answer
    x = 49,324.18

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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.