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Finding the Fourth Proportional to 33,920.64, 46,762.06 and 24,357.47

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Solution

The fourth proportional to 33,920.64, 46,762.06 and 24,357.47 is: 33,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920.64 : 46,762.06 = 24,357.47 : x
  2. Step 2: Convert to fraction form
    33,920.64/46,762.06 = 24,357.47/x
  3. Step 3: Cross multiply
    33,920.64x = 46,762.06 × 24,357.47
  4. Step 4: Simplify right side
    33,920.64x = 1,139,005,351.80
  5. Step 5: Solve for x
    x = 1,139,005,351.80/33,920.64
  6. Step 6: Final answer
    x = 33,578.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.