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Finding the Fourth Proportional to 88,029.60, 132,044.40 and 31,896.60

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Solution

The fourth proportional to 88,029.60, 132,044.40 and 31,896.60 is: 47,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,029.60 : 132,044.40 = 31,896.60 : x
  2. Step 2: Convert to fraction form
    88,029.60/132,044.40 = 31,896.60/x
  3. Step 3: Cross multiply
    88,029.60x = 132,044.40 × 31,896.60
  4. Step 4: Simplify right side
    88,029.60x = 4,211,767,409.04
  5. Step 5: Solve for x
    x = 4,211,767,409.04/88,029.60
  6. Step 6: Final answer
    x = 47,844.90

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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.