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Finding the Fourth Proportional to 53,495.92, 73,825.42 and 32,007.80

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Solution

The fourth proportional to 53,495.92, 73,825.42 and 32,007.80 is: 44,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,495.92 : 73,825.42 = 32,007.80 : x
  2. Step 2: Convert to fraction form
    53,495.92/73,825.42 = 32,007.80/x
  3. Step 3: Cross multiply
    53,495.92x = 73,825.42 × 32,007.80
  4. Step 4: Simplify right side
    53,495.92x = 2,362,989,278.28
  5. Step 5: Solve for x
    x = 2,362,989,278.28/53,495.92
  6. Step 6: Final answer
    x = 44,171.39

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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.