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Finding the Fourth Proportional to 65,956, 91,019.28 and 35,741.52

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Solution

The fourth proportional to 65,956, 91,019.28 and 35,741.52 is: 49,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956 : 91,019.28 = 35,741.52 : x
  2. Step 2: Convert to fraction form
    65,956/91,019.28 = 35,741.52/x
  3. Step 3: Cross multiply
    65,956x = 91,019.28 × 35,741.52
  4. Step 4: Simplify right side
    65,956x = 3,253,167,416.51
  5. Step 5: Solve for x
    x = 3,253,167,416.51/65,956
  6. Step 6: Final answer
    x = 49,323.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.