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Finding the Fourth Proportional to 88,466.48, 132,742.21 and 55,178

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Solution

The fourth proportional to 88,466.48, 132,742.21 and 55,178 is: 82,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466.48 : 132,742.21 = 55,178 : x
  2. Step 2: Convert to fraction form
    88,466.48/132,742.21 = 55,178/x
  3. Step 3: Cross multiply
    88,466.48x = 132,742.21 × 55,178
  4. Step 4: Simplify right side
    88,466.48x = 7,324,449,663.38
  5. Step 5: Solve for x
    x = 7,324,449,663.38/88,466.48
  6. Step 6: Final answer
    x = 82,793.50

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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.