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Finding the Fourth Proportional to 132,737.60, 199,103.84 and 32,898

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Solution

The fourth proportional to 132,737.60, 199,103.84 and 32,898 is: 49,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,737.60 : 199,103.84 = 32,898 : x
  2. Step 2: Convert to fraction form
    132,737.60/199,103.84 = 32,898/x
  3. Step 3: Cross multiply
    132,737.60x = 199,103.84 × 32,898
  4. Step 4: Simplify right side
    132,737.60x = 6,550,118,128.32
  5. Step 5: Solve for x
    x = 6,550,118,128.32/132,737.60
  6. Step 6: Final answer
    x = 49,346.37

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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.