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Finding the Fourth Proportional to 32,096.28, 48,154.16 and 14,561.40

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Solution

The fourth proportional to 32,096.28, 48,154.16 and 14,561.40 is: 21,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.28 : 48,154.16 = 14,561.40 : x
  2. Step 2: Convert to fraction form
    32,096.28/48,154.16 = 14,561.40/x
  3. Step 3: Cross multiply
    32,096.28x = 48,154.16 × 14,561.40
  4. Step 4: Simplify right side
    32,096.28x = 701,191,985.42
  5. Step 5: Solve for x
    x = 701,191,985.42/32,096.28
  6. Step 6: Final answer
    x = 21,846.52

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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.