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Finding the Fourth Proportional to 65,025.92, 97,475.28 and 31,744.64

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Solution

The fourth proportional to 65,025.92, 97,475.28 and 31,744.64 is: 47,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,025.92 : 97,475.28 = 31,744.64 : x
  2. Step 2: Convert to fraction form
    65,025.92/97,475.28 = 31,744.64/x
  3. Step 3: Cross multiply
    65,025.92x = 97,475.28 × 31,744.64
  4. Step 4: Simplify right side
    65,025.92x = 3,094,317,672.50
  5. Step 5: Solve for x
    x = 3,094,317,672.50/65,025.92
  6. Step 6: Final answer
    x = 47,585.91

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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.