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Finding the Fourth Proportional to 53,105.45, 73,285.50 and 29,232

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Solution

The fourth proportional to 53,105.45, 73,285.50 and 29,232 is: 40,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,105.45 : 73,285.50 = 29,232 : x
  2. Step 2: Convert to fraction form
    53,105.45/73,285.50 = 29,232/x
  3. Step 3: Cross multiply
    53,105.45x = 73,285.50 × 29,232
  4. Step 4: Simplify right side
    53,105.45x = 2,142,281,736
  5. Step 5: Solve for x
    x = 2,142,281,736/53,105.45
  6. Step 6: Final answer
    x = 40,340.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.