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Finding the Fourth Proportional to 32,532.64, 48,765.44 and 12,803.20

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Solution

The fourth proportional to 32,532.64, 48,765.44 and 12,803.20 is: 19,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.64 : 48,765.44 = 12,803.20 : x
  2. Step 2: Convert to fraction form
    32,532.64/48,765.44 = 12,803.20/x
  3. Step 3: Cross multiply
    32,532.64x = 48,765.44 × 12,803.20
  4. Step 4: Simplify right side
    32,532.64x = 624,353,681.41
  5. Step 5: Solve for x
    x = 624,353,681.41/32,532.64
  6. Step 6: Final answer
    x = 19,191.61

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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.