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Finding the Fourth Proportional to 103,202.60, 154,826.12 and 32,123.73

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Solution

The fourth proportional to 103,202.60, 154,826.12 and 32,123.73 is: 48,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.60 : 154,826.12 = 32,123.73 : x
  2. Step 2: Convert to fraction form
    103,202.60/154,826.12 = 32,123.73/x
  3. Step 3: Cross multiply
    103,202.60x = 154,826.12 × 32,123.73
  4. Step 4: Simplify right side
    103,202.60x = 4,973,591,541.08
  5. Step 5: Solve for x
    x = 4,973,591,541.08/103,202.60
  6. Step 6: Final answer
    x = 48,192.50

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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.