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Finding the Fourth Proportional to 32,475.64, 48,707.97 and 9,096.70

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Solution

The fourth proportional to 32,475.64, 48,707.97 and 9,096.70 is: 13,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.64 : 48,707.97 = 9,096.70 : x
  2. Step 2: Convert to fraction form
    32,475.64/48,707.97 = 9,096.70/x
  3. Step 3: Cross multiply
    32,475.64x = 48,707.97 × 9,096.70
  4. Step 4: Simplify right side
    32,475.64x = 443,081,868.64
  5. Step 5: Solve for x
    x = 443,081,868.64/32,475.64
  6. Step 6: Final answer
    x = 13,643.51

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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.