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Finding the Fourth Proportional to 38,509.49, 53,120.91 and 23,185.37

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Solution

The fourth proportional to 38,509.49, 53,120.91 and 23,185.37 is: 31,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.49 : 53,120.91 = 23,185.37 : x
  2. Step 2: Convert to fraction form
    38,509.49/53,120.91 = 23,185.37/x
  3. Step 3: Cross multiply
    38,509.49x = 53,120.91 × 23,185.37
  4. Step 4: Simplify right side
    38,509.49x = 1,231,628,085.89
  5. Step 5: Solve for x
    x = 1,231,628,085.89/38,509.49
  6. Step 6: Final answer
    x = 31,982.45

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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.