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Finding the Fourth Proportional to 32,096.10, 48,155.54 and 14,325.14

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Solution

The fourth proportional to 32,096.10, 48,155.54 and 14,325.14 is: 21,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.10 : 48,155.54 = 14,325.14 : x
  2. Step 2: Convert to fraction form
    32,096.10/48,155.54 = 14,325.14/x
  3. Step 3: Cross multiply
    32,096.10x = 48,155.54 × 14,325.14
  4. Step 4: Simplify right side
    32,096.10x = 689,834,801.03
  5. Step 5: Solve for x
    x = 689,834,801.03/32,096.10
  6. Step 6: Final answer
    x = 21,492.79

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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.