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Finding the Fourth Proportional to 32,091, 48,096.36 and 15,446.60

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Solution

The fourth proportional to 32,091, 48,096.36 and 15,446.60 is: 23,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091 : 48,096.36 = 15,446.60 : x
  2. Step 2: Convert to fraction form
    32,091/48,096.36 = 15,446.60/x
  3. Step 3: Cross multiply
    32,091x = 48,096.36 × 15,446.60
  4. Step 4: Simplify right side
    32,091x = 742,925,234.38
  5. Step 5: Solve for x
    x = 742,925,234.38/32,091
  6. Step 6: Final answer
    x = 23,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.