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Finding the Fourth Proportional to 38,696.98, 53,379.15 and 24,334.03

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Solution

The fourth proportional to 38,696.98, 53,379.15 and 24,334.03 is: 33,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.98 : 53,379.15 = 24,334.03 : x
  2. Step 2: Convert to fraction form
    38,696.98/53,379.15 = 24,334.03/x
  3. Step 3: Cross multiply
    38,696.98x = 53,379.15 × 24,334.03
  4. Step 4: Simplify right side
    38,696.98x = 1,298,929,570.58
  5. Step 5: Solve for x
    x = 1,298,929,570.58/38,696.98
  6. Step 6: Final answer
    x = 33,566.69

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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.