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Finding the Fourth Proportional to 53,493.57, 73,823.66 and 32,272.38

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Solution

The fourth proportional to 53,493.57, 73,823.66 and 32,272.38 is: 44,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.57 : 73,823.66 = 32,272.38 : x
  2. Step 2: Convert to fraction form
    53,493.57/73,823.66 = 32,272.38/x
  3. Step 3: Cross multiply
    53,493.57x = 73,823.66 × 32,272.38
  4. Step 4: Simplify right side
    53,493.57x = 2,382,465,208.51
  5. Step 5: Solve for x
    x = 2,382,465,208.51/53,493.57
  6. Step 6: Final answer
    x = 44,537.41

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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.