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Finding the Fourth Proportional to 104,225.25, 156,346.52 and 30,353.25

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Solution

The fourth proportional to 104,225.25, 156,346.52 and 30,353.25 is: 45,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,225.25 : 156,346.52 = 30,353.25 : x
  2. Step 2: Convert to fraction form
    104,225.25/156,346.52 = 30,353.25/x
  3. Step 3: Cross multiply
    104,225.25x = 156,346.52 × 30,353.25
  4. Step 4: Simplify right side
    104,225.25x = 4,745,624,856.42
  5. Step 5: Solve for x
    x = 4,745,624,856.42/104,225.25
  6. Step 6: Final answer
    x = 45,532.39

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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.