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Finding the Fourth Proportional to 32,172.32, 48,256.16 and 10,825.18

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Solution

The fourth proportional to 32,172.32, 48,256.16 and 10,825.18 is: 16,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.32 : 48,256.16 = 10,825.18 : x
  2. Step 2: Convert to fraction form
    32,172.32/48,256.16 = 10,825.18/x
  3. Step 3: Cross multiply
    32,172.32x = 48,256.16 × 10,825.18
  4. Step 4: Simplify right side
    32,172.32x = 522,381,443.34
  5. Step 5: Solve for x
    x = 522,381,443.34/32,172.32
  6. Step 6: Final answer
    x = 16,236.98

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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.