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Finding the Fourth Proportional to 33,570, 46,326.60 and 18,665.68

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Solution

The fourth proportional to 33,570, 46,326.60 and 18,665.68 is: 25,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,570 : 46,326.60 = 18,665.68 : x
  2. Step 2: Convert to fraction form
    33,570/46,326.60 = 18,665.68/x
  3. Step 3: Cross multiply
    33,570x = 46,326.60 × 18,665.68
  4. Step 4: Simplify right side
    33,570x = 864,717,491.09
  5. Step 5: Solve for x
    x = 864,717,491.09/33,570
  6. Step 6: Final answer
    x = 25,758.64

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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.