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Finding the Fourth Proportional to 48,904.56, 67,487.94 and 27,683.64

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Solution

The fourth proportional to 48,904.56, 67,487.94 and 27,683.64 is: 38,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,904.56 : 67,487.94 = 27,683.64 : x
  2. Step 2: Convert to fraction form
    48,904.56/67,487.94 = 27,683.64/x
  3. Step 3: Cross multiply
    48,904.56x = 67,487.94 × 27,683.64
  4. Step 4: Simplify right side
    48,904.56x = 1,868,311,835.30
  5. Step 5: Solve for x
    x = 1,868,311,835.30/48,904.56
  6. Step 6: Final answer
    x = 38,203.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.