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Finding the Fourth Proportional to 38,509.58, 53,121.05 and 23,185.47

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Solution

The fourth proportional to 38,509.58, 53,121.05 and 23,185.47 is: 31,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.58 : 53,121.05 = 23,185.47 : x
  2. Step 2: Convert to fraction form
    38,509.58/53,121.05 = 23,185.47/x
  3. Step 3: Cross multiply
    38,509.58x = 53,121.05 × 23,185.47
  4. Step 4: Simplify right side
    38,509.58x = 1,231,636,395.22
  5. Step 5: Solve for x
    x = 1,231,636,395.22/38,509.58
  6. Step 6: Final answer
    x = 31,982.60

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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.