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Finding the Fourth Proportional to 53,190, 73,409.49 and 34,323.48

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Solution

The fourth proportional to 53,190, 73,409.49 and 34,323.48 is: 47,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190 : 73,409.49 = 34,323.48 : x
  2. Step 2: Convert to fraction form
    53,190/73,409.49 = 34,323.48/x
  3. Step 3: Cross multiply
    53,190x = 73,409.49 × 34,323.48
  4. Step 4: Simplify right side
    53,190x = 2,519,669,161.83
  5. Step 5: Solve for x
    x = 2,519,669,161.83/53,190
  6. Step 6: Final answer
    x = 47,371.11

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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.