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Finding the Fourth Proportional to 104,104, 156,160.32 and 30,232

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Solution

The fourth proportional to 104,104, 156,160.32 and 30,232 is: 45,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,104 : 156,160.32 = 30,232 : x
  2. Step 2: Convert to fraction form
    104,104/156,160.32 = 30,232/x
  3. Step 3: Cross multiply
    104,104x = 156,160.32 × 30,232
  4. Step 4: Simplify right side
    104,104x = 4,721,038,794.24
  5. Step 5: Solve for x
    x = 4,721,038,794.24/104,104
  6. Step 6: Final answer
    x = 45,349.25

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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.