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Finding the Fourth Proportional to 32,084.76, 48,094.02 and 15,419.64

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Solution

The fourth proportional to 32,084.76, 48,094.02 and 15,419.64 is: 23,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.76 : 48,094.02 = 15,419.64 : x
  2. Step 2: Convert to fraction form
    32,084.76/48,094.02 = 15,419.64/x
  3. Step 3: Cross multiply
    32,084.76x = 48,094.02 × 15,419.64
  4. Step 4: Simplify right side
    32,084.76x = 741,592,474.55
  5. Step 5: Solve for x
    x = 741,592,474.55/32,084.76
  6. Step 6: Final answer
    x = 23,113.54

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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.