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Finding the Fourth Proportional to 92,096.92, 137,848.26 and 47,662.60

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Solution

The fourth proportional to 92,096.92, 137,848.26 and 47,662.60 is: 71,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,096.92 : 137,848.26 = 47,662.60 : x
  2. Step 2: Convert to fraction form
    92,096.92/137,848.26 = 47,662.60/x
  3. Step 3: Cross multiply
    92,096.92x = 137,848.26 × 47,662.60
  4. Step 4: Simplify right side
    92,096.92x = 6,570,206,477.08
  5. Step 5: Solve for x
    x = 6,570,206,477.08/92,096.92
  6. Step 6: Final answer
    x = 71,340.13

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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.