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Finding the Fourth Proportional to 32,527.64, 48,792 and 9,154.64

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Solution

The fourth proportional to 32,527.64, 48,792 and 9,154.64 is: 13,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.64 : 48,792 = 9,154.64 : x
  2. Step 2: Convert to fraction form
    32,527.64/48,792 = 9,154.64/x
  3. Step 3: Cross multiply
    32,527.64x = 48,792 × 9,154.64
  4. Step 4: Simplify right side
    32,527.64x = 446,673,194.88
  5. Step 5: Solve for x
    x = 446,673,194.88/32,527.64
  6. Step 6: Final answer
    x = 13,732.11

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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.