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Finding the Fourth Proportional to 104,602, 156,972.12 and 49,202.32

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Solution

The fourth proportional to 104,602, 156,972.12 and 49,202.32 is: 73,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,602 : 156,972.12 = 49,202.32 : x
  2. Step 2: Convert to fraction form
    104,602/156,972.12 = 49,202.32/x
  3. Step 3: Cross multiply
    104,602x = 156,972.12 × 49,202.32
  4. Step 4: Simplify right side
    104,602x = 7,723,392,479.32
  5. Step 5: Solve for x
    x = 7,723,392,479.32/104,602
  6. Step 6: Final answer
    x = 73,835.99

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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.