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Finding the Fourth Proportional to 92,439.52, 138,688.96 and 64,096

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Solution

The fourth proportional to 92,439.52, 138,688.96 and 64,096 is: 96,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,439.52 : 138,688.96 = 64,096 : x
  2. Step 2: Convert to fraction form
    92,439.52/138,688.96 = 64,096/x
  3. Step 3: Cross multiply
    92,439.52x = 138,688.96 × 64,096
  4. Step 4: Simplify right side
    92,439.52x = 8,889,407,580.16
  5. Step 5: Solve for x
    x = 8,889,407,580.16/92,439.52
  6. Step 6: Final answer
    x = 96,164.58

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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.