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Finding the Fourth Proportional to 65,049.60, 97,507.31 and 31,728.50

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Solution

The fourth proportional to 65,049.60, 97,507.31 and 31,728.50 is: 47,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.60 : 97,507.31 = 31,728.50 : x
  2. Step 2: Convert to fraction form
    65,049.60/97,507.31 = 31,728.50/x
  3. Step 3: Cross multiply
    65,049.60x = 97,507.31 × 31,728.50
  4. Step 4: Simplify right side
    65,049.60x = 3,093,760,039.16
  5. Step 5: Solve for x
    x = 3,093,760,039.16/65,049.60
  6. Step 6: Final answer
    x = 47,560.02

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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.