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Finding the Fourth Proportional to 65,457.72, 98,172 and 30,378.24

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Solution

The fourth proportional to 65,457.72, 98,172 and 30,378.24 is: 45,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457.72 : 98,172 = 30,378.24 : x
  2. Step 2: Convert to fraction form
    65,457.72/98,172 = 30,378.24/x
  3. Step 3: Cross multiply
    65,457.72x = 98,172 × 30,378.24
  4. Step 4: Simplify right side
    65,457.72x = 2,982,292,577.28
  5. Step 5: Solve for x
    x = 2,982,292,577.28/65,457.72
  6. Step 6: Final answer
    x = 45,560.59

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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.